# How do you simplify (y^-3)^-4?

##### 1 Answer
May 24, 2018

See a solution process below:

#### Explanation:

Use this rule of exponents to eliminate the parenthesis:

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

${\left({y}^{\textcolor{red}{- 3}}\right)}^{\textcolor{b l u e}{- 4}} \implies {y}^{\textcolor{red}{- 3} \times \textcolor{b l u e}{- 4}} \implies {y}^{12}$