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

Jan 5, 2017

${x}^{8}$
Using the $\textcolor{b l u e}{\text{law of exponents}}$
$\textcolor{\mathmr{and} a n \ge}{\text{Reminder }} \textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{{\left({a}^{m}\right)}^{n} = {a}^{m n}} \textcolor{w h i t e}{\frac{2}{2}} |}}}$
$\Rightarrow {\left({x}^{2}\right)}^{4} = {x}^{2 \times 4} = {x}^{8}$