# How do you simplify (6x^2)^4?

May 22, 2018

See a solution process below:

#### Explanation:

First, use this rule of exponents to rewrite the term within the parenthesis:

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

${\left(6 {x}^{2}\right)}^{4} \implies {\left({6}^{\textcolor{red}{1}} {x}^{2}\right)}^{4}$

Now, use this rule of exponents to simplify the expression:

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

${\left({6}^{\textcolor{red}{1}} {x}^{\textcolor{red}{2}}\right)}^{\textcolor{b l u e}{4}} \implies$

${6}^{\textcolor{red}{1} \times \textcolor{b l u e}{4}} {x}^{\textcolor{red}{2} \times \textcolor{b l u e}{4}} \implies$

${6}^{4} {x}^{8} \implies$

$1296 {x}^{8}$