10100 Exponencial explication -Copy1.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "42808ce5-9b3d-4ad6-abf5-ba832fb3a599",
   "metadata": {
    "tags": []
   },
   "source": [
    "#### Library :  Libaldo.py\n",
    "* This library include:\n",
    "  * sympy.py The best symbolic math library for me\n",
    "  * numpy as np, matplotlib.pyplot as plt IPython.display  \n",
    "  * libaldo_math2.py this module have some util tools for classic math functions  \n",
    "  * libaldo_algorith.py some algorith to manage simple math functions\n",
    "  * mathbasic.py include basic math\n",
    "  * mathexponencial all exponencial math procedures\n",
    "  * lib_MyEq , this module manage maths Eq\n",
    "  * lib_MyEqEq , this module will be MyEq=MyEq\n",
    "* Also include the most used variables like   ,x,y,z,alpha,mu..   etc... mayby 150 variables  "
   ]
  },
  {
   "attachments": {
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   "cell_type": "markdown",
   "id": "722e0ae5-96d0-4d2d-bd78-f9f7150c814a",
   "metadata": {},
   "source": [
    "![image.png](attachment:88ad5e4c-afa2-450d-9622-62851c582729.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "e8a0fea3-7645-432a-a56f-6578ce8373f0",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from  Libaldomath  import *\n",
    "# this cell will be initializing your variables"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "6ffee2c9-7da6-4aed-95f3-e70ad57688f8",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle P =x + 3 y z^{2}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "P=MyEq(x+y*z*(3*z),'P')"
   ]
  },
  {
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   "source": [
    "![image.png](attachment:20e0cd2a-95b2-4f69-8c93-5299e944d921.png)"
   ]
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"
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   "cell_type": "markdown",
   "id": "c4ae9f2c-d86a-4f59-a6b5-a77643485227",
   "metadata": {},
   "source": [
    "![image.png](attachment:54df9e1e-714e-4371-a5f2-ffb26663218e.png)"
   ]
  },
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   "source": [
    "![image.png](attachment:20e0cd2a-95b2-4f69-8c93-5299e944d921.png)"
   ]
  },
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"
    }
   },
   "cell_type": "markdown",
   "id": "62113f01-2b30-4c22-ae09-0fafadcc309f",
   "metadata": {},
   "source": [
    "![image.png](attachment:9546bf35-6d24-4e04-ac6f-9cac811d5701.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "047abbc4-5026-4ecf-9634-8c69bd158784",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle x^{2}$"
      ],
      "text/plain": [
       " 2\n",
       "x "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ppow(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "a3505056-9928-47df-86d8-40f1998a0b6e",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOCAYAAAAWo42rAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA6UlEQVQoFWWR3XHCQAyEbU8KcKCCUEKcElxCWmDogGe/Jh14KIGU4FSQnw5wBzB0YL7PPvFwaGbRam/vJORymqYiouu6Pjh5BbZoV7VSI0UN/wM9/NMD8ivpGzTwsVIkDmAVJgX4P+kXzF3C+I4wgjw0t1yqK3/S6SV3UZ+T9qZxHhbB4fNYJ2ETrb8QNrmL2j9k1GHcWvF6azbgmqLbOK8nHTjrBzgBW/4Au6g1dyPFQ/Cqpj14jtYPpiTYfuDC9UkB4h5d+oti0hzFmRvreNFZ8j0e0XZcdOnLt5YgOI/hS8YRbVhoUdwArdZQb6DcVHgAAAAASUVORK5CYII=",
      "text/latex": [
       "$\\displaystyle 9$"
      ],
      "text/plain": [
       "9"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ppow(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "aef24743-e480-4435-9b9d-46e2ee1446a1",
   "metadata": {
    "scrolled": true,
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\frac{x^{2}}{y^{2} - 4 y + 4} + \\frac{4 x}{y^{2} - 4 y + 4} + \\frac{4}{y^{2} - 4 y + 4}$"
      ],
      "text/plain": [
       "      2                                   \n",
       "     x             4⋅x             4      \n",
       "──────────── + ──────────── + ────────────\n",
       " 2              2              2          \n",
       "y  - 4⋅y + 4   y  - 4⋅y + 4   y  - 4⋅y + 4"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "expand((expand(ppow(x+2))/(y-2)**2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "99b9af3b-ea33-43a6-b9a4-37a0c0f5f1de",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle Q =x + y$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q=MyEq(x+y,'Q')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "b838bc1c-bc33-411d-855c-a773fef75558",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle Q =\\left(x + y\\right)^{4}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q.Pow(4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "f55a0974-f343-47a1-90aa-f0db31228600",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle x + y = x$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q=MQ(x+y,x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "0fbb2b44-13b6-44b1-818c-cc5e09ebcb2f",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left(x + y\\right)^{3 a + b} = x^{3 a + b}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q.Pow(3*a+b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "95c91681-7f75-4ce9-b2c9-8a36234cfacd",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle x + y = x$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q=MQ(x+y,x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "e74fa622-bc29-49fb-b4e9-d906ced81ae2",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left(x + y\\right)^{3 a + b} = x$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q.Pow(3*a+b,'L') #only left side"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "69323dad-f49b-419a-98d4-4d075b9bca2c",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left(x + y\\right)^{3 a + b} = x^{3 a + b}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q.Pow(3*a+b,'R') #only left side"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "9bfc67f6-79b3-4883-91e7-9dba4a857ecb",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle - x^{3 a + b} + \\left(x + y\\right)^{3 a + b}$"
      ],
      "text/plain": [
       "   3⋅a + b          3⋅a + b\n",
       "- x        + (x + y)       "
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Q() "
   ]
  },
  {
   "attachments": {
    "20e0cd2a-95b2-4f69-8c93-5299e944d921.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "id": "fa3caa6c-0e24-451e-a5f9-a6946993b5ee",
   "metadata": {},
   "source": [
    "![image.png](attachment:20e0cd2a-95b2-4f69-8c93-5299e944d921.png)"
   ]
  },
  {
   "attachments": {
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"
    }
   },
   "cell_type": "markdown",
   "id": "5b8ba5cb-68bf-407c-8f74-7b38fcdbe257",
   "metadata": {},
   "source": [
    "![image.png](attachment:b8208c58-c99e-4c64-9173-13cfb2d9bfb2.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "082253c6-4061-430b-8947-dcff3eaeacdb",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAABwAAAAVCAYAAABVAo5cAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAB3klEQVRIDa2VO1ICQRCG8REZWR5BbyCaE+gNsDwBegMtMjILTyCaaUpmqAGJEcoRSM0oboDft84uu+xqOYtd1TU7/frnn+6BjcVi0agrvV7vkNyPmPztmOCK2D62JsCTCl+labPS+gdjYNeIAbNsbUByu6gMo6QWIKz2QdlnfY1CI7gWIHnXQWPx4gFhtQvKUR12nq4OQ/t2Y3Id2Yh5h4HdB+vBKljwXQT7MWsHtdfnwTYmZhjL8LfJ7FPwVgVgjD6gJ+ztt21IJjp7+DjaGOesv01eG38VO5nln8icvfVkqeyhS0CKXGHw9FO0iZYkxAxKjm/DO35zU7HGBJvADdaz1LHFh7+HstpB26PR6LnVan3yXRDsjySm/Sj4VuOJfSLgDvtbIZDNJkXSk6STJ9OCEOOV/cRuNfYEgz0bpg7yd1X32dBgkP49ap+crrzYeH0lCcVeWAVSLlFnIX/FXfbJ9WaASeiy8QIkQqDNH6YJwZxfBFJnxMhilndi0+fUJlIAxOmp7OdFSDbIK06v2/2qGC97C5snww7rALUVXmd2vaWHj9PEF1SWHuAUm0X+RQoMrUhxT+wfqszU/Ptiu56UAEM5r9B+TDlAvvnroZFdCQiIdy7LbHjWRgoFvgDZiKvl03lHnQAAAABJRU5ErkJggg==",
      "text/latex": [
       "$\\displaystyle \\sqrt{x}$"
      ],
      "text/plain": [
       "√x"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rpow(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "f986620b-4c15-4344-9da7-1a50c0ddcf05",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\sqrt[4]{x}$"
      ],
      "text/plain": [
       "4 ___\n",
       "╲╱ x "
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rpow(x,4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "4cb914a1-1b36-48f0-b60c-2d79cfc82f0d",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle x^{\\frac{1}{y}}$"
      ],
      "text/plain": [
       "y ___\n",
       "╲╱ x "
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rpow(x,y,z)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "5373b6ad-21e7-4cbf-8986-2691c1a8c7dd",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle x^{\\frac{a}{7}}$"
      ],
      "text/plain": [
       " a\n",
       " ─\n",
       " 7\n",
       "x "
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(kpow(x,1,7))**a"
   ]
  },
  {
   "attachments": {
    "928ef224-915d-4c13-9d5d-7407e8df4042.png": {
     "image/png": "iVBORw0KGgoAAAANSUhEUgAABAIAAABGCAYAAABWpjbcAAARkUlEQVR4Xu3dPXNcRboA4KZkgY0/ZOCiWhclXFuXjIQf4AAHGzsh3YyQwP4FFL/ADgidOXXimEAb+AeQkO3WLVZFQRlsbISwLFnl2z3jo+k5Ol8zoxlpfB5V7ZbxnHOmz9PdoH67++23Qgiv4v/8ECBAgAABAgQIECBAgAABAj0QeEsgoAe17BUJECBAgAABAgQIECBAgMBrAYEATYEAAQIECBAgQIAAAQIECPRIQCCgR5XtVQkQIECAAAECBAgQIECAgECANkCAAAECBAgQIECAAAECBHokIBDQo8r2qgQIECBAgAABAgQIECBAQCBAGyBAgAABAgQIECBAgAABAj0SEAjoUWV7VQIECBAgQIAAAQIECBAgIBCgDRAgQIAAAQIECBAgQIAAgR4JCAT0qLK9KgECBAgQIECAAAECBAgQEAjQBggQIECAAAECBAgQIECAQI8EBAJ6VNlelQABAgQIECBAgAABAgQICARoAwQIECBAgAABAgQIECBAoEcCAgE9qmyvSoAAAQIECBAgQIAAAQIEBAK0AQIECBAgQIAAAQIECBAg0CMBgYAeVbZXJUCAAAECBAgQIECAAAECAgHaAAECBAgQIECAAAECBAgQ6JGAQECPKturEiBAgAABAgQIECBAgAABgQBtgAABAgQIECBAgAABAgQI9EhAIKBHle1VCRAgQIAAAQIECBAgQICAQIA2QIAAAQIECBAgQIAAAQIEeiQgENCjyvaqBAgQIECAAAECBAgQIEBAIEAbIECAAAECBAgQIECAAAECPRIQCOhRZXtVAgQIECBAgAABAgQIECAgEKANECBAgAABAgQIECBAgACBHgkIBPSosr0qAQIECBAgQIAAAQIECBAQCNAGCBAgQIAAAQIECBAgQIBAjwQEAnpU2V6VAAECBAgQIECAAAECBAgIBGgDBAgQIECAAAECBAgQIECgRwICAT2q7NP0qtdjYW6sr4ebf7wIYffZaSqashDojYB+2Juq9qIECBAgQIAAgTEBgQANYiECacBxe30thHf+J3z263Z4sPooXFv7JDx861W4sfVb/PRkgwFfnQ3hm/c+CmHlXNiKZUplDLuPFmLjSwgsSuC098NFOfgeAgQIECBAgEDfBRYaCLgTB1v//PDjcO/larj58y/RfqeT/1fxqm+ufBQehrPhxs/zGzRej+UL4Xz4dDWET8KZ8PdzF8LVlZWwsfL2oJxf770K3z76T6cyz3JRKseN1bXR95+JT3s1LEP62TrYC7f+PAib2087G85SnlnvTYOP+1fW4yD7UjTci4b/HTzy+/fPh413r4R7B68mag+zlqd8/6B9bcQgwKtzhx8tIkChP1TXpH543C18+LzT3g/n89aeSoAAAQIECBAgUCWw0EDAg4thMAucfj549jyE7Z9aayX/5XWS+1ofHC94nGao3/6wy6WDa+YZCEjvefP9tXDtfCxTNuhvKtzDOICeZ2CkM0zDhUUQJ82050GA4pYiGPDFX3th88kwQLDon6JdpjKEWIYiaNG1jU5bXv1hKKcfTtuCut+3DP2w+9u4kgABAgQIECBAYFaBhQYCikFfKnTXWeB8kHDcS7bz8nwdB4E//JWWp788NN3c7bZiYdZKSPcXs8NFEGArDvLvvtiNZfozbO6mMg3LMtjTe/F8+OflDwYBg3kGJ2Z9r/EZyOrVFMU1D89cPLEtAqmNbb3espC2AxTtYt6BAP1h2ML0w1l7WvP9y9IP56vg6QQIECBAgAABArnAiQUCugzqiwFCGhRvnNmPWwNWj3WwOO3S7Hk1oe/jgHQjrlDoEiQpyn7cJsf5bl2X/hcz4ycV1CgHAsr/fJwm+bPyAXCf+4N+OK8WNh5oafv3ykn3w/kqeDoBAgQIECBAgMCJBQLKS4CbloMXv5Smvdrf/fpb+ObDCzG3wNmJ95IXg4wv4oR6eel58R1tvyB3aTKDpf1xpv7ahThTH3MKTLNsf5JfxNsCASn53ZeX1sPGO/EPceVAGmje3dkN3z4ZzytQzBbeCxcnti1cigRkP8ZZ9SLxX7HvfpDXoSUZ4CTXdqmLSa/JB/53wqNBHouvX6zOPR+E/jCsKf1wtH+/z/1w0n7regIECBAgQIAAgekFFrYioBhwbsUl4P96uh2Xtp+tTRqYJ29Ly7Pv7P/UODhLM+n5IDTnaNqDPsnAu4k4zzifXzfcE/84/lW3LQb5XvW2/fJNZR98dvnjylwD5Vn34jlNM9KpPr6MyRo/+zP+oSKvQ9VAbtLl9ZNeP32TP3pn+u5w/m+t7fI4v1N/GGnqh6NgSJ/74XH2L88iQIAAAQIECBBoFlhYICBf/vsgnhhw/8r5kIIC5WPa8v2sxYqBpgFy8dytuG2g6si3pkDAcQw+8739xcD/ehz433+diHCS1QZdE+c1vfNYeWLeg2+fDAMRD9Jqhdd5BfK97/nKi7qZ+2LmumoFRzlokwIFxd9NsoKjKPciZuLLXWKavfqz/otFfxgFx/TDUSCg6bSKN70fztqn3E+AAAECBAgQINBdYGGBgPKsX92gt2pfeZfBfN3+8qZfnovP8oFxCkR8evZ8+OTdM+HzMxfiMv+VcPcgVM7s54Pu8iB5muXOVeXJqzI/WWAQ+Hi6OzZDXzUoz+8vHHOrtkBA/o5VyfOqZnOLv5sk2d5JJg2sy2WQBwjqutQk75g/Q38YBQL0w/ZAQB/6Yff/bLmSAAECBAgQIEBgVoGFBQLKg/mqBGF1g9KmGcO2wXPd5/nKg0EywrA/2Ntf9VM1S5cPuqtmyqdZ7lyXpK58tOAg/8Dv2yFluG8b6FcNPvNVCm25BvJ97OX3zA3zAXG652GWL6BrIy2W6Fet7Oj6jEmuO1yeH/MjVCWjTKsorsacDxuldrF1sBf+dXAQHvyRTnRIJ01M/qM/DM30w1+iws7hqSF1yT/f5H44ee9xBwECBAgQIECAwKwCCwkE5Puhi0FeeRBZ5AFIie3Ks6x1A+S2JHN1A9WElg/kc8Q0yPsx/UUc6H33fD/8sP+icrBX/GLethKh64xxbnTr1+3waRwc/OPduJw/Jft7PRCtS/iXv89WTM5XN5CuCr40GR5uQXi5GgfDbx05qrDpeV+/ODtxsr1pVhJM2wHK2xceXNwJ19Y+qTyOsar9Tvu9+eA33xrT1/6gHw4DAX3th7P0I/cSIECAAAECBAhML7CQQEDdL7nl4wFTEKBu1rkqn0DbvvKm5bSHM+FxkHvn998mmtltm0Vvy1tQVV11A6J0bVoBcOfP7bC5nZZTVyce7LIVoWprQNMgtwjApMDE/fdiOWJOhzyPQNWWjaZTGtqa6Sz3tj07/7xLYCpPijjN6o6m8ugPo5Us+uF/Bk2lj/1wkj7rWgIECBAgQIAAgeMVWEggoG6QWh78Vs2uN+0dbxqgDZ4dM92HlXODo/PKs+STZOgvkzflLMhndpsSf5WfmQct0sD//17shgf7cen5drel522JBptWR1RtnygHWcrPrxu4zDKYbwvsHFfTr2s3VQGc414NkN5Bfxi1af3wp8Nm3bd+eFz92XMIECBAgAABAgQmF1hIIKBLwr66o/aalsxWzXAngrEl7Wf2Q9WJAtNmKm8aGOaD7VSOum0DVdU06yC4yTh9X11CvHxgmq/GKG/HKK+CuHP22eBIx3txRcXNeApEsVJhGQIBTXklBqcrrF0ZBI9uxWSMN8PTwT9PUpdt3VB/GAnph6MVPlVBkTe5H7b1E58TIECAAAECBAjMT2DugYCmmegur9UlEFAkv7t+difcvrQWNt7+MNzb2wv/fvQ4fLNxOTyM++bLR+PV5R1oK1NRnvJe/LGVAHvPw7W3zx3Z5tD07FlmRvOBftWANR/cVuUPKO/1vxMd0yC/fJRfPoC9HR6HjXevHHnHWQIaswQR2uqt+Lyu/vL7C6/i7yZZ2dFWDv3hv2NE+uGIo0/9sK2f+JwAAQIECBAgQGC+AnMPBEyzXz5/5ab78+X0xT3FTO5mPM++Kpldum6S5d7X41GCYfXM4RL9sYHk6+P7BgPHyx+EQY6DZ8/D7dWng0FyOVFgMdgfbFV4GrP+b4/2Srct7W9rBmPPjnv604kCX8U8g19eWo+BkUvD7RGl4waLZ5YTFaZ8AFU5GYrvyK3LgYVyEr66nAZV7zNrMKTNKK/7sHKpNlBTXtlRTtKYPg+xXWzG0xsneb90tf4wWgqvH4632D71wy591TUECBAgQIAAAQLzE5h7IKDtnPq2V2s9P/v9OAg//8Fg+f/dF/sxU/3jw8FZ3ex0Phi7lQbk+8PluZ/GAf8/zr0Trq7ELPlhZew4wfKy+RBXHeQ/eR6CulnO/Fz6cpBg1kBAefBaV7Y677xs6ZqqIxHL35EfQ1g8tymnQ1tdTzs73Pbc8uf5u6aVIzf/iG1mdydcj4GTwYqSd9YGQZ302edhdxBIqfqZZruA/nA0UWDqu/rhsIX1qR9O2m9dT4AAAQIECBAgcHwCCwsEVA0au7zGJLOGdQO+8qC2PLPdVI40wP/x5X648Xuc/o2z7OmnnIjw7s5u+PbJ0/hJ8zFg6XuvXv7fcCtev/lkNDOantm2x7+r1e314daI9LMVkw7ejUkHi7I1PSNP3Ni0FD7Vx+314SqDuqMRpxnQz7KSoIvNkbaROZU/y1eVDOo7rax476N4hOK5oWtsE3d3YtDpySjo1LUMXU53aHrWm9Yf0pGNXX70w3GlN6Ufdql71xAgQIAAAQIECBy/wNwDAYvY913HUjcgTYPOL6+sx/+PI7z48+PBQfjuZfxDzNL/w/7LsJn+Ms4QT/Mz7R75tL3g6uW/HTndYJoyTHvPMFDxcSzDKOgxzbOmWd0wzT3TlC2/5040//zC5dIAv1vgZNrv1h9GcvphdSvqWz+cti+5jwABAgQIECBAYHqBuQcCpi/abHc2JRmc7cnNdx/3mfPzLOu8nl2Xm6Hu+06qrub1/qfxuSdlfFL94aS+9zTVvX54mmpDWQgQIECAAAECp0tgaQMB38el3Z89vxAT7o0vsS94644WnDf/cSzxn3cZF/H8SRymPUJuEe+xLN+hP4zX1CTtb1nqeJpyTuKgH04j7B4CBAgQIECAwHIKLGUgYCwh3a+/xWX8z8b0uxwRN4/qmvVouHmU6aSemeccqEo8WJTLzO3sNaQ/jBvqhyMP/XD2/uUJBAgQIECAAIE3UWApAwGpIvLM/4NkfX/FZH0p83v87H7a/x+Ph5smq/sslZz/0l2XSG+W5y/bvYNBfsw5MDhW8a+9mCBx/Az5k1quvmyOXcqrP1QPfvXDEPTDLj3INQQIECBAgACBfgksbSAgDwakgWb5pynz/byquO2ow3l972l+bjEIufdyNdz8+ZdY1FESxqHXR+GLnZUjQYLT/E6ntWx5++tzf9APj7ZQ/fC09lrlIkCAAAECBAicjMBSBwISWVoBcPP9tXAtnf2+MgwI3DuIZ8P/HrcLlLYMzJu4OFbwYTyN4MbPcctCGN+yMO/v93wC+sPoeE/9UH8gQIAAAQIECBAgUC2w9IEAFUuAAAECBAgQIECAAAECBAh0FxAI6G7lSgIECBAgQIAAAQIECBAgsPQCAgFLX4VegAABAgQIECBAgAABAgQIdBcQCOhu5UoCBAgQIECAAAECBAgQILD0AgIBS1+FXoAAAQIECBAgQIAAAQIECHQXEAjobuVKAgQIECBAgAABAgQIECCw9AICAUtfhV6AAAECBAgQIECAAAECBAh0FxAI6G7lSgIECBAgQIAAAQIECBAgsPQCAgFLX4VegAABAgQIECBAgAABAgQIdBcQCOhu5UoCBAgQIECAAAECBAgQILD0AgIBS1+FXoAAAQIECBAgQIAAAQIECHQXEAjobuVKAgQIECBAgAABAgQIECCw9AICAUtfhV6AAAECBAgQIECAAAECBAh0FxAI6G7lSgIECBAgQIAAAQIECBAgsPQCAgFLX4VegAABAgQIECBAgAABAgQIdBf4f1avAvEWfX2UAAAAAElFTkSuQmCC"
    }
   },
   "cell_type": "markdown",
   "id": "99d9d1a2-7f71-4384-ade6-4ebd3dccf982",
   "metadata": {},
   "source": [
    "![image.png](attachment:928ef224-915d-4c13-9d5d-7407e8df4042.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "5fd670af-9e00-4a8d-b600-c7a34da6aa16",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle Q =x + y$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q=MyEq(x+y,'Q')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "fca01c44-5b5c-402d-ab21-c23e35395fba",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle Q =\\sqrt[4]{x + y}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q.Rpow(4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "e2853440-a879-4b71-af99-636291825298",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle x + y = x$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q=MQ(x+y,x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "b7a9c8d4-b793-473c-b669-4fcf538cff86",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left(x + y\\right)^{\\frac{1}{3 a + b}} = x^{\\frac{1}{3 a + b}}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q.Rpow(3*a+b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "5ec71feb-16fc-44ed-a381-c3d2089c6ea8",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle x + y = x$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q=MQ(x+y,x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "00e4f1ee-ea01-478a-b16c-758d5e29ed2c",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left(x + y\\right)^{\\frac{1}{3 a + b}} = x$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q.Rpow(3*a+b,'L') #only left side"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "0b35e2cf-b1ab-4da9-acac-f83a5f8cda51",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left(x + y\\right)^{\\frac{1}{3 a + b}} = x^{\\frac{1}{3 a + b}}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q.Rpow(3*a+b,'R') #only left side"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "5250035f-e59a-41bf-8c3a-7ba3286cd098",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAL8AAAAcCAYAAAAwYm5GAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAGAklEQVR4Ae2a7ZHUOBCGZ6kNAJYMlgzujghuyQC4CIAMjrp/+4/iMgAioCADIAJgM4AMWDaDvffRql2yLc2MR7Jlc+4qjeyW1F/qbn14jq6vrzcrrBZYigXOz89PJesrlUd6vsqR+zhncI2xJZWvIf/K83ALaO5/02icn5INt7IpTEjAK28GmJDzymoOFtD8X6i8LyXL0py/qPKljLjSWaYFFuX8yzTxKvVcLbA6/1xnZpVrdAuszj+6iVcGpSzAmU/lb9E7UflHzw9zaB8t6aoT5aXsGYqrvFb5LFyxA5DoVQHpcKryvQrzwkyXpMuinL/wPM2CnJyFTPZd9eKDGINKD5ITGfpf3lOg9uofmKo4/xwUlwxHqYmZCi8ZWLbvq34+Fc8p+EgfAvpKNatzdZAcBKR9GLswgao4vzH/P9eakNvS/5Pq339FO0ivr9LrT9XJr7BqYxv7h9cfO7wSrnFOj9+r0riXKskkorafKndCYr/8gVcKn6l8U8HQRcDTfJpJ7KXGk40mgUIyD5EV3dBxG9D+RbKxQnxQebOt8442kkkURP9UDb0zVbW/N0igSaJefD6qnKgclFGi1txsMHTS2IkxXfRjyfSsixzxvYTMe4sn3V6rkG2fq1wlBrr/56gd5/xLpZUMhLcEg+x3oZWgswvtEp/Gsx27q/JWzxc1M3/VqN9lrTHbZXj2+r1MNCbPSrTR8XGKt+zAuQDHZ09+qfLF+gqP499TTRBxeLZAsC5D6gfqzJYKOs2KVCTziyiRacLd1/MTFYtmPUavJKtGPUJVBCbjY4r/gfZMkcvGB/LcE7Gvem8Osr7tjepHEUboiK5N/7CPxtgVLw6Ov7A9vaPCSsGq6GjqnczdBIaeN8KRPPE7A7a34crxTu9mY84VtmrAx0ER5xclDhtuCVfN0sLejTt4ljyLtNZVnvD7RL0TWH1/ip4Jr8dBYFFvBkYecDWByQgnqivLYHt2CRR+54MSc8mKxdyGzkxmBx+Db0KS1XsgWjgu7XbrFjoy/XlnNQCg8QH+Ks6PVLf8Qe9k9uQ2Um1XjtJNULmzSLbziygZ3xHzxGGCMZ749xPVYbtDa1zVqPey1arCiW3JcKg9W0QKvkgesu5nT5KkYQ5pXMBZhjWc1fRtMq0hqUWX5PdMBf/BHuwYHoBXDeDcBJ3xZtWxNtqHAIFLUgbY7zt5j/UA408q1PsCW5YL35nTerh/5cqKf186QVX3lkPh4FU16vdRVHKSnWOZi4DeqD2WadC9p3OHH+OdfTp4XgfbM6Qxgsx8gLO5Jsu/CPnpGft0cdYFv0j6leiGK4iNcbXayPCt3UKrw4AX0cLZewGK8zMJB981a7wZxsSJGcjaXA1PlapR3xIo8YKMsSbhWdlYubZ+xYyN3YUTzcH2DGmWlln0XJCqxslx5MZhhWNVANdzLOGAbUF+06Pcr5NzCLnsbU/ILDBQE7HCYZyN6pZwem+MGNLwfUeP+i7Pid8vxc/ZZRtf2cgcbqc9t9Ep1MZq1qzonibykci6AWss0RFdRwfJ0DoD7MMwy/nFEOXeqXBAI/rJlBgj3Aa5w5LwY0IrsMZkVIg29unthWdkz5iayBvOK3227fdpJ/N3x4CfBdzKlILIp1z6iWtFuXC02YElk1V6uPgMjvo0tUlayJQc8LowC3t2hfLvLSf2c4u8fJlNgTv/pRpr448zBSDbs33BCBsZhH08V1IcFPlvB0HRLNn0WcFZ4K1+WTG7MGd7kmC4z+fm7ocKty9Aar9PG34RPTfRWBvWP7YdMANygOwDr2hw2xXemh0gyf5DSsgccvNBcKY6elkiPNskEqEFSTh8Fs+5255ZKFFBCM4YuecMMuiUWfFgmXF0FVZyB3q+rQfu51/cYKK/rBS97zvRnpWQa+avZHjYyonYL7NVbO2nK4oUZS35WKX4guqudlWzZeP+P3rWEp6sT38OxLOF3D3/bBVbiGBcH+JIs3YSyYeT889YvpKyjcGxt+31OfNNuaqJ3XBYM/9wmxUd4bMk/1kp/sGsqKB7EvMB8l71rFcz1PkPGn2zp7gHWFQAAAAASUVORK5CYII=",
      "text/latex": [
       "$\\displaystyle - x^{\\frac{1}{3 a + b}} + \\left(x + y\\right)^{\\frac{1}{3 a + b}}$"
      ],
      "text/plain": [
       "      1                1   \n",
       "   ───────          ───────\n",
       "   3⋅a + b          3⋅a + b\n",
       "- x        + (x + y)       "
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Q() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "30f123bb-f8a1-4867-9631-a5ec7f142576",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "160838ee900b421c80e34e05ade07098",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Tab(children=(Tab(children=(VBox(children=(Image(value=b'\\x89PNG\\r\\n\\x1a\\n\\x00\\x00\\x00\\rIHDR\\x00\\x00\\x041\\x00\\…"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "helpgui"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "7abd9c26-b790-48ff-9337-a9f777d5883d",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from   Libaldomath  import *\n",
    "# this cell will be initializing your variables"
   ]
  },
  {
   "attachments": {
    "20e0cd2a-95b2-4f69-8c93-5299e944d921.png": {
     "image/png": "iVBORw0KGgoAAAANSUhEUgAABXEAAAAeCAYAAABqi10dAAAD70lEQVR4Xu3Y3WnDMBSA0XgE9aF7dJwu4WG6jUbxCn3oCikOBIKxrRtFCAWOX3P1k2M/fVNK6XrxECBAgAABAgQIECBAgAABAgQIECBAgMCQApOIO+R7cSkCBAgQIECAAAECBAgQIECAAAECBAjcBERcHwIBAgQIECBAgAABAgQIECBAgAABAgQGFhBxB345rkaAAAECBAgQIECAAAECBAgQIECAAAER1zdAgAABAgQIECBAgAABAgQIECBAgACBgQVE3IFfjqsRIECAAAECBAgQIECAAAECBAgQIEBAxPUNECBAgAABAgQIECBAgAABAgQIECBAYGCBUMT9mz8H/guuRoAAAQIECBAgQIAAAQIECBAgQIAAgfcT+Pj5DV1axA0xGSJAgAABAgQIECBAgAABAgQIECBAgEBbge/l65JzLm4q4haJDBAgQIAAAQIECBAgQIAAAQIECBAgQKC9wBpx16cUckXc9vZ2JECAAAECBAgQIECAAAECBAgQIECAQFHgHnFLIVfELVIaIECAAAECBAgQIECAAAECBAgQIECAQHuBx4h7FnJF3Pb2diRAgAABAgQIECBAgAABAgQIECBAgEBRYBtxj0KuiFukNECAAAECBAgQIECAAAECBAgQIECAAIH2AnsRdy/kirjt7e1IgAABAgQIECBAgAABAgQIECBAgACBosBRxN2G3FDEXRfN81w81AABAgQIECBAgAABAgQIECBAgAABAgQIxASWZTkdzDnffg9HXCE3Bm+KAAECBAgQIECAAAECBAgQIECAAAECUYGzkFsVcYXcKL05AgQIECBAgAABAgQIECBAgAABAgQIxASOQm51xBVyY/CmCBAgQIAAAQIECBAgQIAAAQIECBAgEBXYC7kvRVwhN0pvjgABAgQIECBAgAABAgQIECBAgAABAjGBbch9OeIKuTF4UwQIECBAgAABAgQIECBAgAABAgQIEIgKPIbcJhFXyI3SmyNAgAABAgQIECBAgAABAgQIECBAgEBM4B5ym0VcITcGb4oAAQIECBAgQIAAAQIECBAgQIAAAQJRgTXkNo240YPNESBAgAABAgQIECBAgAABAgQIECBAgMBzAlNK6frcEtMECBAgQIAAAQIECBAgQIAAAQIECBAg0EtAxO0l7RwCBAgQIECAAAECBAgQIECAAAECBAhUCIi4FWiWECBAgAABAgQIECBAgAABAgQIECBAoJeAiNtL2jkECBAgQIAAAQIECBAgQIAAAQIECBCoEBBxK9AsIUCAAAECBAgQIECAAAECBAgQIECAQC8BEbeXtHMIECBAgAABAgQIECBAgAABAgQIECBQIfAPo1p5+8uQ2a0AAAAASUVORK5CYII="
    }
   },
   "cell_type": "markdown",
   "id": "b1e93d84-1280-4d60-abec-6c3a55b4ab64",
   "metadata": {},
   "source": [
    "![image.png](attachment:20e0cd2a-95b2-4f69-8c93-5299e944d921.png)"
   ]
  },
  {
   "attachments": {
    "9546bf35-6d24-4e04-ac6f-9cac811d5701.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "e3df2c02-da2b-49e3-882d-6e1c238efea4",
   "metadata": {
    "tags": []
   },
   "source": [
    "![image.png](attachment:9546bf35-6d24-4e04-ac6f-9cac811d5701.png)"
   ]
  },
  {
   "attachments": {
    "87d0b398-90c6-48ef-b5c1-9e79c5e80ca8.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "id": "3ca84595-8de0-455e-82c9-4c67fec66237",
   "metadata": {},
   "source": [
    "![image.png](attachment:87d0b398-90c6-48ef-b5c1-9e79c5e80ca8.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "543190a6-4969-4539-9491-cd71678b13d6",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle 2^{8 x}$"
      ],
      "text/plain": [
       " 8⋅x\n",
       "2   "
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "primefactor(256**x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "0a70cecb-6559-4665-831f-bac854d0444a",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\frac{16^{2 x}}{400} + \\frac{7}{10000}$"
      ],
      "text/plain": [
       "  2⋅x        \n",
       "16        7  \n",
       "───── + ─────\n",
       " 400    10000"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "expr=(25*16**(2*x) +7)/(10000)\n",
    "expr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "7a53b692-ee78-4dd7-807f-db8fbba6482d",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\frac{2^{4} \\cdot 2^{8 x}}{5^{2}} + \\frac{7 \\cdot 2^{4}}{5^{4}}$"
      ],
      "text/plain": [
       " 4  8⋅x      4\n",
       "2 ⋅2      7⋅2 \n",
       "─────── + ────\n",
       "    2       4 \n",
       "   5       5  "
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    " primefactor(expr)"
   ]
  },
  {
   "attachments": {
    "6ac97320-ccd8-4b85-b9b1-67193632e220.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "2d672baa-79d7-4105-9012-d3e2e9225f65",
   "metadata": {},
   "source": [
    "![image.png](attachment:6ac97320-ccd8-4b85-b9b1-67193632e220.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "eaed8bf5-66ac-4f75-b0aa-c26dc7e4b896",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle 6912 y^{8} + 256 = 10000$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q=MQ(256+6912*y**8,10000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "9da48cea-adf2-43d3-bcde-ed4a2a8ee9d6",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle 2^{8} \\cdot 3^{3} y^{8} + 2^{8} = 2^{4} \\cdot 5^{4}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q.primefactor()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "79c0e26b-dc62-48f8-8d52-4d07048cd35e",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle 6912 y^{8} + 256 = 10000$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q=MQ(256+6912*y**8,10000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "eeba5bed-0e0c-4e12-b31f-ec3093c42898",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle 2^{8} \\cdot 3^{3} y^{8} + 2^{8} = 10000$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q.primefactor('L')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "3b746c5d-bafc-40a9-a028-ffce5b64fec9",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle 2^{8} \\cdot 3^{3} y^{8} - 9744$"
      ],
      "text/plain": [
       " 8  3  8       \n",
       "2 ⋅3 ⋅y  - 9744"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Q()"
   ]
  },
  {
   "attachments": {
    "3d5e8c85-2eb7-4f44-93d3-6ae65540106f.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "id": "418d2cfd-aef3-4e41-8a77-54938d20b32e",
   "metadata": {},
   "source": [
    "![image.png](attachment:3d5e8c85-2eb7-4f44-93d3-6ae65540106f.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "8c5f37a5-5905-4031-8adc-c5de9b11b262",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "m=x**y "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "9bf5bc3e-3e07-4aa5-b290-21af81b5177d",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAAsAAAAJCAYAAADkZNYtAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAyklEQVQYGU2QvQ3CMBCFDWQAoKRkBBB9CkZAMAFQUkapktZsgJgAwQgU6SPYAErKKBuY7xlb4aTn9+Pc6Zyec86oyrIcQjtvjFnAWzAFm5DV/SBEloajgK7BGSzxGaxBNuEwBJpopUO18ApoumoMrNEaRVHMxBH4E3hEH9mvweSn7++ONfLS2Z/ya/yHNC7x2vEWczJ5kwRxReuBd3gPWvQbjpXjM62hSUITGpv4hZhMd/o7ZpCm6QfWa0dgzmVeVdULHMCEzJH5lb58Ulq0QJNfvQAAAABJRU5ErkJggg==",
      "text/latex": [
       "$\\displaystyle x$"
      ],
      "text/plain": [
       "x"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "getbase(m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "33017d1f-97a6-429c-9593-2b7b262a09b3",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle x^{y} + 5$"
      ],
      "text/plain": [
       " y    \n",
       "x  + 5"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m=x**y +5\n",
    "m"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "65184487-ff56-4519-9948-20f1206e2dc4",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle x^{y} + 5$"
      ],
      "text/plain": [
       " y    \n",
       "x  + 5"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "getbase(m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "606567d5-ba07-46d4-99ec-d330588e580a",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle Q =x^{y}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q=MyEq(x**y,'Q')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "8193d864-88db-49ca-b8fe-1759a7293e03",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAAsAAAAJCAYAAADkZNYtAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAyklEQVQYGU2QvQ3CMBCFDWQAoKRkBBB9CkZAMAFQUkapktZsgJgAwQgU6SPYAErKKBuY7xlb4aTn9+Pc6Zyec86oyrIcQjtvjFnAWzAFm5DV/SBEloajgK7BGSzxGaxBNuEwBJpopUO18ApoumoMrNEaRVHMxBH4E3hEH9mvweSn7++ONfLS2Z/ya/yHNC7x2vEWczJ5kwRxReuBd3gPWvQbjpXjM62hSUITGpv4hZhMd/o7ZpCm6QfWa0dgzmVeVdULHMCEzJH5lb58Ulq0QJNfvQAAAABJRU5ErkJggg==",
      "text/latex": [
       "$\\displaystyle x$"
      ],
      "text/plain": [
       "x"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Q.getbase()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "b93f4d25-ae75-4f71-a798-c26e7efa56c8",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle Q =x^{y} + 6$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q=MyEq(x**y+6,'Q')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "8b6dca5f-1591-4141-a1f6-159d43f4f171",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle x^{y} + 6$"
      ],
      "text/plain": [
       " y    \n",
       "x  + 6"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Q.getbase()"
   ]
  },
  {
   "attachments": {
    "dec8332b-befc-490c-be45-d3570762aa59.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "id": "d4bea041-cdf4-4165-b85c-8e5764d9f04a",
   "metadata": {},
   "source": [
    "![image.png](attachment:dec8332b-befc-490c-be45-d3570762aa59.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "02edc64c-8000-4bbe-ac85-88ff6b408c20",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "m=x**y "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "3cd785aa-3e2f-4596-bdcc-2543247b6baa",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA80lEQVQoFW2S4W3CQAyFA2KAqiPABp0BNigdgRUQv5J/CDYAJqjaDdoNUBiBDUBskH6fdZccUi2987PPdh4+Rl3XVU3TvFRVtQIz0BIf8WHp7oRfjlNuQ7CH/4BdymX3AXk3GFP0hj8bYAtwDzYc5n4NnXyl4dsAc8oh2HDMoX4xJj8kNJhUe6nXr5rrJ8PDlpwXmqI55RzwIHcxzj9QPgVXSWG9XnNl8VNhktXrtXjikWyNd5+u7gbcuRZ6g/ko/6Gu6x1oy7uQ4TTQRjcH3A34otuc02fNvtBncXGCH2nK+4+rUfpvWPwKnKjWLwoHrSS0P46EZY0GvzwDAAAAAElFTkSuQmCC",
      "text/latex": [
       "$\\displaystyle y$"
      ],
      "text/plain": [
       "y"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "getexpo(m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "0b868f96-d1c6-409c-8e5b-79bd89edd56f",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle x^{y} + 5$"
      ],
      "text/plain": [
       " y    \n",
       "x  + 5"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m=x**y +5\n",
    "m"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "5a7dcffe-bdae-481b-b222-930cd6b38016",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAAgAAAAOCAYAAAASVl2WAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAZElEQVQYGWP8//8/Aww0NDQYAdmrgdgYyP4AEmcBMgSA9GwgfgfEJkCsBMRwAFIAUhkKEgGyy4AUyBQ4YIKzcDBGFUACBj0chKHhJQQLN0ZQZAGDGBRBIOACxKC4OQfE94B4NwDm+hiAOyllRAAAAABJRU5ErkJggg==",
      "text/latex": [
       "$\\displaystyle 1$"
      ],
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "getexpo(m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "21bad7c8-f0ef-40a0-a2be-58184d860d58",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle Q =x^{y}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q=MyEq(x**y,'Q')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "17611af0-08cc-48b1-91ae-3614d4399e62",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA80lEQVQoFW2S4W3CQAyFA2KAqiPABp0BNigdgRUQv5J/CDYAJqjaDdoNUBiBDUBskH6fdZccUi2987PPdh4+Rl3XVU3TvFRVtQIz0BIf8WHp7oRfjlNuQ7CH/4BdymX3AXk3GFP0hj8bYAtwDzYc5n4NnXyl4dsAc8oh2HDMoX4xJj8kNJhUe6nXr5rrJ8PDlpwXmqI55RzwIHcxzj9QPgVXSWG9XnNl8VNhktXrtXjikWyNd5+u7gbcuRZ6g/ko/6Gu6x1oy7uQ4TTQRjcH3A34otuc02fNvtBncXGCH2nK+4+rUfpvWPwKnKjWLwoHrSS0P46EZY0GvzwDAAAAAElFTkSuQmCC",
      "text/latex": [
       "$\\displaystyle y$"
      ],
      "text/plain": [
       "y"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Q.getexpo()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "bd97d05c-9693-4401-83ec-bc4a5a1e87bc",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle Q =x^{y} + 6$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q=MyEq(x**y+6,'Q')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "a171a3ee-3167-4d91-b66c-369a3bf456f2",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAAgAAAAOCAYAAAASVl2WAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAZElEQVQYGWP8//8/Aww0NDQYAdmrgdgYyP4AEmcBMgSA9GwgfgfEJkCsBMRwAFIAUhkKEgGyy4AUyBQ4YIKzcDBGFUACBj0chKHhJQQLN0ZQZAGDGBRBIOACxKC4OQfE94B4NwDm+hiAOyllRAAAAABJRU5ErkJggg==",
      "text/latex": [
       "$\\displaystyle 1$"
      ],
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Q.getexpo()"
   ]
  },
  {
   "attachments": {
    "67ebce0f-91f1-4248-9e6e-f9b8e52706fe.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "id": "7c30d030-9f34-4d46-9e77-e088b12a7865",
   "metadata": {},
   "source": [
    "![image.png](attachment:67ebce0f-91f1-4248-9e6e-f9b8e52706fe.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "c6cdbd0e-3aea-4366-a334-8e7154596d01",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "m=x**y "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "03fec722-0af8-44eb-9d75-e69d1b1b334c",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left( x, \\  y\\right)$"
      ],
      "text/plain": [
       "(x, y)"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "partpow(m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "a43c8c34-91d5-4214-a485-4b65bdd0b7fe",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "m=x**(y/z) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "1b9a2857-4c94-4872-8f1f-67854751c5d2",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left( x, \\  \\frac{y}{z}\\right)$"
      ],
      "text/plain": [
       "⎛   y⎞\n",
       "⎜x, ─⎟\n",
       "⎝   z⎠"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "partpow(m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "eb8417b0-2467-4f60-abac-818c89919d4f",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left( x, \\  y, \\  z\\right)$"
      ],
      "text/plain": [
       "(x, y, z)"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "partPow(m)"
   ]
  },
  {
   "attachments": {
    "f3e57c3d-9cc9-419d-8041-2f78978fd749.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "26812737-e689-4dc8-979d-bf2a8efbbed6",
   "metadata": {},
   "source": [
    "![image.png](attachment:f3e57c3d-9cc9-419d-8041-2f78978fd749.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "86a1fc6c-8909-425a-9f0c-ae8d5bd24d89",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle z \\left(x - 1\\right)^{2} \\left(x^{2} + 2 x + 1\\right)^{2}$"
      ],
      "text/plain": [
       "                         2\n",
       "         2 ⎛ 2          ⎞ \n",
       "z⋅(x - 1) ⋅⎝x  + 2⋅x + 1⎠ "
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m=((x*x+2*x+1)*(x-1))**2*z\n",
    "m"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "4f302ef0-ec2e-4272-9bb7-4c5c8d65e9b3",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle z \\left(x - 1\\right)^{2} \\left(x + 1\\right)^{4}$"
      ],
      "text/plain": [
       "         2        4\n",
       "z⋅(x - 1) ⋅(x + 1) "
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "factorbase(m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "76e5bc84-d6ea-4fcf-89b0-4e473f530cec",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left(x + 1\\right)^{2}$"
      ],
      "text/plain": [
       "       2\n",
       "(x + 1) "
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "factor(x*x+2*x+1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "86df94c5-493b-4112-a460-691d2444ffb4",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left(\\left(x + 1\\right)^{2}\\right)^{z}$"
      ],
      "text/plain": [
       "          z\n",
       "⎛       2⎞ \n",
       "⎝(x + 1) ⎠ "
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m=((x+1)**2)**z\n",
    "m"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "19bda225-9935-4004-86ee-4400e224b6ff",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left(x^{2} + 2 x + 1\\right)^{z}$"
      ],
      "text/plain": [
       "              z\n",
       "⎛ 2          ⎞ \n",
       "⎝x  + 2⋅x + 1⎠ "
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "expandbase(m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "id": "ad8ae493-546c-4979-b6b5-f9b687ede712",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left(x^{2} + x \\left(x + 1\\right) + 2 x + 1\\right)^{z}$"
      ],
      "text/plain": [
       "                          z\n",
       "⎛ 2                      ⎞ \n",
       "⎝x  + x⋅(x + 1) + 2⋅x + 1⎠ "
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m=(x*x+2*x+1+x*(x+1))**z\n",
    "m"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "id": "21772a33-d12a-4947-be95-3bfa129257f7",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left(x^{2} + x \\left(x + 1\\right) + 2 x + 1\\right)^{z}$"
      ],
      "text/plain": [
       "                          z\n",
       "⎛ 2                      ⎞ \n",
       "⎝x  + x⋅(x + 1) + 2⋅x + 1⎠ "
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "simplifybase(m)"
   ]
  },
  {
   "attachments": {
    "cac9024e-35f1-433e-9852-8e931e05f8b5.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "id": "75290238-a118-40ad-8ffe-ac78ffc81e1d",
   "metadata": {},
   "source": [
    "![image.png](attachment:cac9024e-35f1-433e-9852-8e931e05f8b5.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "id": "31572557-22f1-4d88-84d8-46abf9fc40cf",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle x^{x^{2} + 2 x + 1}$"
      ],
      "text/plain": [
       "  2          \n",
       " x  + 2⋅x + 1\n",
       "x            "
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m=(x)**(x*x+2*x+1)\n",
    "m"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "14f54f3a-07ca-4403-9672-7f22a802e23a",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle x^{\\left(x + 1\\right)^{2}}$"
      ],
      "text/plain": [
       " ⎛       2⎞\n",
       " ⎝(x + 1) ⎠\n",
       "x          "
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "factorexpo(m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "id": "c8e8449a-2959-420f-a335-26dae1c47ff2",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle x^{\\left(x + 1\\right)^{2}}$"
      ],
      "text/plain": [
       " ⎛       2⎞\n",
       " ⎝(x + 1) ⎠\n",
       "x          "
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m=factorexpo((x)**(x*x+2*x+1))\n",
    "m"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "b51d6c96-c81d-4c3c-bb95-71a8f2800c5b",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle x^{x^{2} + 2 x + 1}$"
      ],
      "text/plain": [
       "  2          \n",
       " x  + 2⋅x + 1\n",
       "x            "
      ]
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "expandexpo(m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "id": "e0ce420f-2a49-40c5-a5ef-6ccd253ef990",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle x^{\\left(x + 1\\right)^{2}}$"
      ],
      "text/plain": [
       " ⎛       2⎞\n",
       " ⎝(x + 1) ⎠\n",
       "x          "
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "simplifyexpo(m)"
   ]
  },
  {
   "attachments": {
    "0f1ee567-eef1-4e4b-833c-9aca4f1b4193.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "id": "1678520d-d958-4fb9-b447-21a59f0d2d70",
   "metadata": {},
   "source": [
    "![image.png](attachment:0f1ee567-eef1-4e4b-833c-9aca4f1b4193.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "id": "d0653ff4-084e-4a72-9e2a-c45120491710",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left(x^{y}\\right)^{z}$"
      ],
      "text/plain": [
       "    z\n",
       "⎛ y⎞ \n",
       "⎝x ⎠ "
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m=(x**y)**z\n",
    "m"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "id": "acca9029-6b88-44a0-b5c3-0e451f0a1a5b",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAB0AAAAQCAYAAADqDXTRAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABw0lEQVQ4Ea2UP05CQRCHH8gBEDtLjgChJxFvgHoCtbSTUEFH4AbgCQzeQAp6xBtIaUm4wfP7Nm/JC428wCTzfjO78293Zl8pTdOkKA2Hww4+DbiFfBf9kecHujZzeAdrV4eTsp8iRNAq9g1wAnYzPQFNYDF5ekYxWQ8OMnaLSt7iSLmG3QznLrgBPYVkwq8gZR/2TJSA4YRRL5wUx00W6AH8UM6oBX5GJSL24QZATxuocNLoCBpsmtM96SinJyRyrQ7aCnVPvD0lqXG2fghm8Cr4rS4hm2AMj5At0Lb0kG9PSRqGgyBrgjks+4TIkvs38D38BtsW7ZJSfDI4O5VPLkL25xG2WnsnrbAJPcxsa2Dsr730ucyC5T+fcm5/jNNEZm0FW10H3YotyKuK5J7Tm7Dv1VrAUQn1CdeLgyfMB/UZGNTTSvYjv+8AOSCv4BXYBI8nr3cwGDTEyOhTeB31c2O4Xio9HAKb/3586cUs8z0NnhQQxh9l//BZ8znY17NQJQvmT9lBWoD+unbIYTKzLH10B+os5Ek9mbzNCggPPkZnzT2n+Wx00W63f4nmdF7CTZL0l8vlD/wCX7OWsra/avST6Q8BiPJH/hcADwAAAABJRU5ErkJggg==",
      "text/latex": [
       "$\\displaystyle x^{y z}$"
      ],
      "text/plain": [
       " y⋅z\n",
       "x   "
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mulexpo(m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "id": "afabcb1c-6d74-474c-9253-3ab81f057d13",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle x^{y z}$"
      ],
      "text/plain": [
       " y⋅z\n",
       "x   "
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m=mulexpo(m)\n",
    "m"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "id": "6bcc7a63-ce9c-4345-8127-1d49a4b68a0a",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left(x^{y}\\right)^{z}$"
      ],
      "text/plain": [
       "    z\n",
       "⎛ y⎞ \n",
       "⎝x ⎠ "
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pow2powpow(m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "id": "aebc683b-1b76-4cb3-85fe-3b7f9efa0baf",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left(x^{z}\\right)^{y}$"
      ],
      "text/plain": [
       "    y\n",
       "⎛ z⎞ \n",
       "⎝x ⎠ "
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pow2powpow(m,z)"
   ]
  },
  {
   "attachments": {
    "188a7cef-c98d-48de-b6ba-108f00d898ab.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "id": "f68cdd6d-e5ad-4834-8eb1-74f4f477a5cd",
   "metadata": {},
   "source": [
    "![image.png](attachment:188a7cef-c98d-48de-b6ba-108f00d898ab.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "id": "d8f76c0c-9ddf-46d2-9289-cda7a4f0228d",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from  Libaldomath  import *\n",
    "# this cell will be initializing your variables"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "id": "1fcecdf5-8e8d-46ac-8d9f-0982d4a5bae2",
   "metadata": {
    "scrolled": true,
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle x^{a} y^{b - 1}$"
      ],
      "text/plain": [
       " a  b - 1\n",
       "x ⋅y     "
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m=x**a*y**(b-1)\n",
    "m"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "id": "a7487a61-bf03-46c9-9aa5-f5318c2c50d0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\frac{x^{a} y^{\\frac{1}{b}}}{y}$"
      ],
      "text/plain": [
       " a b ___\n",
       "x ⋅╲╱ y \n",
       "────────\n",
       "   y    "
      ]
     },
     "execution_count": 86,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "positivexpo(m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "cf1afcb3-fe4c-4ff8-a894-ca636dca7900",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.0"
  }
 },
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 "nbformat_minor": 5
}