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Created on: 2011-12-08

A sample problem solved by Quickmath web math calculator

Command

Simplify

Expression
x^3*z^-1*(3*x*u^-3/z^-2)^3

  1. A product that consists of 3 factors. The first factor of the product is a power. The base is x. The exponent is three. The second factor of the product is a power. The base is z. The exponent is negative one. The third factor of the product is a power. The base is a rational expression: the numerator of the rational expression is a product comprising 3 factors. The first factor of the product is three. The second factor of the product is equal to x. The third factor of the product is a power. The base is u. The exponent is negative three. The denominator of the rational expression is a power. The base is z. The exponent is negative two. The exponent is three.
  2. x to the power of three multiplied by z exponentiated by negative one times opening bracket three times x multiplied by u exponentiated by negative three divided by z to the power of negative two closing bracket to the power of three;
Result
27*x^6*z^5/u^9

  1. A quotient: dividend of the quotient is a product that comprises 3 factors; the first factor of the product is twenty seven; the second factor of the product is a power; the base is x; the exponent is six; the third factor of the product is equal to a power; the base is z; the exponent is five; divisor of the quotient is a power; the base is u; the exponent is nine;
  2. twenty seven times x exponentiated by six multiplied by z raised to the power of five divided by u to the power of nine.