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Created on: 2012-02-19

Algebra : Simplify

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Command

Simplify

Expression
5*a^3*b^2/(16*x*y)*48*x*y^2/(80*a*b^3)

  1. A rational expression: the numerator of the rational expression is a product containing 4 factors; the first factor of the product is equal to a fraction: the top of the fraction is a product consisting of 3 factors; the first factor of the product is equal to five; the second factor of the product is equal to a power; the base is a; the exponent is three; the third factor of the product is a power; the base is b; the exponent is two; the bottom of the fraction is a product containing 3 factors; the first factor of the product is sixteen; the second factor of the product is equal to x; the third factor of the product is equal to y; the second factor of the product is forty eight; the third factor of the product is equal to x; the four factor of the product is equal to a power; the base is y; the exponent is two; the denominator of the rational expression is a product that contains 3 factors; the first factor of the product is eighty; the second factor of the product is equal to a; the third factor of the product is a power; the base is b; the exponent is three;
  2. five times a exponentiated by three times b raised to the power of two divided by sixteen times x times y times forty eight multiplied by x multiplied by y to the power two fraction line eighty multiplied by a multiplied by b raised to the power of three;
Result
3*a^2*y/(16*b)

  1. A fraction: the top of the fraction is a product that comprises 3 factors. The first factor of the product is equal to three. The second factor of the product is a power. The base is a. The exponent is two. The third factor of the product is equal to y. The bottom of the fraction is a product that consists of 2 factors. The first factor of the product is equal to sixteen. The second factor of the product is b.
  2. three times a raised to the power of two multiplied by y fraction line sixteen times b;


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