# How do you simplify 4^7/4^5?

Dec 26, 2016

16

#### Explanation:

First, we can use the rule of exponents which states:

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

So,

${\textcolor{b l u e}{4}}^{\textcolor{red}{7}} / {\textcolor{b l u e}{4}}^{\textcolor{red}{5}} = {\textcolor{b l u e}{4}}^{\textcolor{red}{7 - 5}} = {\textcolor{b l u e}{4}}^{\textcolor{red}{2}} = \textcolor{b l u e}{4} \cdot \textcolor{b l u e}{4} = 16$