# How do you simplify p^5divp^2?

Jan 3, 2017

See full simplification process below:

#### Explanation:

First, we rewrite this expression as:

${p}^{5} / {p}^{2}$

Next we can use this rule of exponents to simplify:

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

Substituting gives:

${p}^{\textcolor{red}{5}} / {p}^{\textcolor{b l u e}{2}} = {p}^{\textcolor{red}{5} - \textcolor{b l u e}{2}} = {p}^{3}$