# How do you simplify (5x^2)^3?

Apr 7, 2017

#### Answer:

See the entire solution process below:

#### Explanation:

Use these two rules for exponents to simplify this expression:

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

${\left(5 {x}^{2}\right)}^{3} = {\left({5}^{\textcolor{red}{1}} {x}^{\textcolor{red}{2}}\right)}^{\textcolor{b l u e}{3}} = {5}^{\textcolor{red}{1} \times \textcolor{b l u e}{3}} {x}^{\textcolor{red}{2} \times \textcolor{b l u e}{3}} = {5}^{3} {x}^{6} = 125 {x}^{6}$