# Negative power division

• November 5th 2009, 01:22 PM
nexer
Negative power division
Hi can anyone help me? what do you do when dividing two different numbers when one of the powers is negative?

for example 7^-3/7^3
• November 5th 2009, 01:34 PM
masters
Quote:

Originally Posted by nexer
Hi can anyone help me? what do you do when dividing two different numbers when one of the powers is negative?

Hi nexer,

Remember this rule:

$\frac{x^a}{x^b}=x^{a-b}$

Example:

$\frac{x^{-3}}{x^{-5}}=x^{-3-(-5)}=x^2$

$\frac{7^{-3}}{7^3}=7^{-3-3}=7^{-6}=\frac{1}{7^6}$