# How do you simplify (a^n)^(3p)?

Apr 10, 2017

See the entire solution process below:

#### Explanation:

To simplify this expression, use this rule of exponents:

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

Substituting gives:

${\left({a}^{\textcolor{red}{n}}\right)}^{\textcolor{b l u e}{3 p}} = {a}^{\textcolor{red}{n} \times \textcolor{b l u e}{3 p}} = {a}^{3 n p}$