# Question #42c32

Apr 10, 2017

See the entire solution process below:

#### Explanation:

Use this rule of exponents to simplify this expression:

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

$\frac{8 y {x}^{\textcolor{red}{- 1}}}{5 {x}^{\textcolor{b l u e}{- 2}}} = \frac{8 y {x}^{\textcolor{red}{- 1} - \textcolor{b l u e}{- 2}}}{5} = \frac{8 y {x}^{\textcolor{red}{- 1} + \textcolor{b l u e}{2}}}{5} = \frac{8 {x}^{1} y}{5}$

Now, use this rule of exponents to complete the simplification:

${a}^{\textcolor{red}{1}} = a$

$\frac{8 {x}^{\textcolor{red}{1}} y}{5} = \frac{8 x y}{5}$