# How do you find the quotient (-x)^5/(-x)?

Feb 12, 2017

See the entire solution process below:

#### Explanation:

We will use these two rules of exponents to solve this problem:

$a = {a}^{\textcolor{b l u e}{1}}$

${x}^{\textcolor{red}{a}} / {x}^{\textcolor{b l u e}{b}} = {x}^{\textcolor{red}{a} - \textcolor{b l u e}{b}}$

${\left(- x\right)}^{5} / \left(- x\right) = {\left(- x\right)}^{5} / {\left(- x\right)}^{\textcolor{b l u e}{1}} = {\left(- x\right)}^{\textcolor{red}{5} - \textcolor{b l u e}{1}} = {\left(- x\right)}^{4}$