# Negative Exponents Inside and Outside of Parentheses

by Fran
(Nineveh, IN)

How to work this problem:2x^3 y^2 z^4 Divided by x^7 y^-3 z^2 Parenthesis around the whole problem with an exponent -2 on the outside. I need to know the steps for solving this problem

### Comments for Negative Exponents Inside and Outside of Parentheses

 Jun 26, 2011 Negative Exponents Inside and Outside of Parentheses by: Staff The question: by Fran (Nineveh, IN) How to work this problem:2x^3 y^2 z^4 Divided by x^7 y^-3 z^2 Parenthesis around the whole problem with an exponent -2 on the outside. I need to know the steps for solving this problem The answer: 2x^3 y^2 z^4 Divided by x^7 y^-3 z^2 Parenthesis around the whole problem with an exponent -2 on the outside. {[(2x^3) * (y^2) * ( z^4)]/[ (x^7) * (y^-3) * (z^2)]}^(-2) = {[2 * (x^3) * (y^2) * ( z^4)]/[ (x^7) * (y^-3) * (z^2)]}^(-2) = {2 * [(x^3)/(x^7)] * [(y^2)/(y^-3)] * [( z^4)/(z^2]}^(-2) = {2 * [x^(3-7)] * [y^(2-(-3))] * [z^(4-2)]}^(-2) = {2 * [x^(-4)] * [y^(5)] * [z^(2)]}^(-2) = [2^(-2)] * [x^(-4)]^(-2)* [y^(5)]^(-2) * [z^(2)]^(-2) = [2^(-2)] * [x^(8)] * [y^(-10)] * [z^(-4)] = {1/[2^(2)]} * [x^(8)] * {1/[y^(10)]} * {1/[z^(4)]} = (1/4) * [x^(8)] * {1/[y^(10)]} * {1/[z^(4)]} = (1/4) * (x^8) * [1/(y^10)] * [1/(z^4] = (x^8)/[4(y^10)(z^4)] The final answer is: (x^8)/[4(y^10)(z^4)] or [4^(-1)](x^8)(y^(-10)(z^(-4)] Thanks for writing. Staff www.solving-math-problems.com

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