# Question #eb426

Apr 12, 2017

See the entire solution process below:

#### Explanation:

First, use this rule of exponents to rewrite this expression:

${x}^{\textcolor{red}{a}} = \frac{1}{x} ^ \textcolor{red}{- a}$

${\left(6 y\right)}^{\textcolor{red}{- 4}} = \frac{1}{6 y} ^ \textcolor{red}{- - 4} = \frac{1}{6 y} ^ 4$

If we want to further simplify the expression we can use these rules of exponents:

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

$\frac{1}{6 y} ^ 4 = \frac{1}{{6}^{\textcolor{red}{1}} {y}^{\textcolor{red}{1}}} ^ \textcolor{b l u e}{4} = \frac{1}{{6}^{\textcolor{red}{1} \times \textcolor{b l u e}{4}} {x}^{\textcolor{red}{1} \times \textcolor{b l u e}{4}}} = \frac{1}{{6}^{4} {y}^{4}} = \frac{1}{1296 {y}^{4}}$