# Question #d6e84

Feb 16, 2017

See the entire solution process below:

#### Explanation:

You can use this rule of exponents to simplify this expression: ${\left({x}^{\textcolor{red}{a}}\right)}^{\textcolor{b l u e}{b}} = {x}^{\textcolor{red}{a} \times \textcolor{b l u e}{b}}$

${\left({x}^{\textcolor{red}{- \frac{4}{7}}}\right)}^{\textcolor{b l u e}{7}} = {x}^{\textcolor{red}{- \frac{4}{7}} \times \textcolor{b l u e}{7}} = {x}^{\textcolor{red}{- \frac{4}{\cancel{7}}} \times \textcolor{b l u e}{\cancel{7}}} = {x}^{-} 4$

If you want the expression with no negative exponents you would use this rule for exponents: ${x}^{\textcolor{red}{a}} = \frac{1}{x} ^ \textcolor{red}{- a}$

${x}^{\textcolor{red}{- 4}} = \frac{1}{x} ^ \textcolor{red}{- - 4} = \frac{1}{x} ^ 4$