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Created on: 2012-02-12

A sample problem solved by Quickmath math solver

Command

Simplify

Expression
(50^x-20)*(20^4-x)/10^x*4^-x

  1. A product of 2 factors; the first factor of the product is equal to a rational expression: the numerator of the rational expression is a product that comprises 2 factors; the first factor of the product is equal to a sum that contains 2 terms; the first term of the sum is equal to a power; the base is fifty; the exponent is x; the second term of the sum is negative twenty; the second factor of the product is a sum consisting of 2 terms; the first term of the sum is equal to a power; the base is twenty; the exponent is four; the second term of the sum is negative x; the denominator of the rational expression is a power; the base is ten; the exponent is x; the second factor of the product is a power; the base is four; the exponent is negative x;
  2. open bracket fifty raised to the power x plus negative twenty close bracket multiplied by open parenthesis twenty to the power four plus negative x close parenthesis over ten exponentiated by x multiplied by four to the power negative x.
Result
-((x-160000)*2^x*5^(2*x)-20*x+3200000)/(2^(3*x)*5^x)

  1. A quotient: dividend of the quotient is a negative sum comprising 3 terms; the first term of the sum is a product of 3 factors; the first factor of the product is equal to a sum that comprises 2 terms; the first term of the sum is equal to x; the second term of the sum is equal to negative one hundred sixty thousand; the second factor of the product is equal to a power; the base is two; the exponent is x; the third factor of the product is equal to a power; the base is five; the exponent is a product containing 2 factors; the first factor of the product is two; the second factor of the product is equal to x; the second term of the sum is equal to a negative product that comprises 2 factors; the first factor of the product is equal to twenty; the second factor of the product is equal to x; the third term of the sum is three million and two hundred thousand; divisor of the quotient is a product of 2 factors; the first factor of the product is equal to a power; the base is two; the exponent is a product comprising 2 factors; the first factor of the product is three; the second factor of the product is equal to x; the second factor of the product is equal to a power; the base is five; the exponent is x;
  2. negative left brace opening brace x plus negative one hundred sixty thousand closing brace times two raised to the power x times five raised to the power of two multiplied by x plus negative twenty times x plus three million and two hundred thousand right brace divided by two to the power three multiplied by x multiplied by five exponentiated by x;