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Created on: 2012-01-09

A sample problem solved by Quickmath online algebra calculator

Command

Simplify

Expression
(x^(a+b))^(a-b)/(x^(a-2*b))^(a+2*b)

  1. A rational expression: the numerator of the rational expression is a power; the base is a power; the base is x; the exponent is a sum consisting of 2 terms; the first term of the sum is equal to a; the second term of the sum is b; the exponent is a sum that contains 2 terms; the first term of the sum is equal to a; the second term of the sum is equal to negative b; the denominator of the rational expression is a power; the base is a power; the base is x; the exponent is a sum that comprises 2 terms; the first term of the sum is equal to a; the second term of the sum is a negative product containing 2 factors; the first factor of the product is equal to two; the second factor of the product is b; the exponent is a sum that consists of 2 terms; the first term of the sum is a; the second term of the sum is equal to a product of 2 factors; the first factor of the product is equal to two; the second factor of the product is equal to b;
  2. left bracket x raised to the power of a plus b right bracket to the power of a plus negative b over opening bracket x to the power a plus negative two times b closing bracket exponentiated by a plus two multiplied by b ;
Result
(x^b)^(3*b+3*a)/(x^a)^(3*b)

  1. A quotient: dividend of the quotient is a power; the base is a power; the base is x; the exponent is b; the exponent is a sum of 2 terms; the first term of the sum is a product that consists of 2 factors; the first factor of the product is equal to three; the second factor of the product is b; the second term of the sum is a product that comprises 2 factors; the first factor of the product is equal to three; the second factor of the product is a; divisor of the quotient is a power; the base is a power; the base is x; the exponent is a; the exponent is a product containing 2 factors; the first factor of the product is equal to three; the second factor of the product is b;
  2. left bracket x raised to the power of b right bracket to the power of three multiplied by b plus three multiplied by a divided by open brace x to the power a close brace raised to the power three multiplied by b;