# How do you simplify (m^4p^2)/(m^2p)?

##### 1 Answer
Feb 12, 2017

See the entire simplification process below:

#### Explanation:

Use these two rules of exponents to simplify this expression:

$a = {a}^{\textcolor{red}{1}}$ and ${\left({x}^{\textcolor{red}{a}}\right)}^{\textcolor{b l u e}{b}} = {x}^{\textcolor{red}{a} \times \textcolor{b l u e}{b}}$

$\frac{{m}^{\textcolor{red}{4}} {p}^{\textcolor{red}{2}}}{{m}^{\textcolor{b l u e}{2}} {p}^{\textcolor{b l u e}{1}}} = {m}^{\textcolor{red}{4} - \textcolor{b l u e}{2}} {p}^{\textcolor{red}{2} - \textcolor{b l u e}{1}} = {m}^{2} {p}^{1} = {m}^{2} p$