# How do you simplify (2a^2)^6?

Jun 22, 2015

 =color(red)( 64a^12
(2a^2)^color(red)(6
Here, $\textcolor{red}{6}$ needs to be multiplied with each term within bracket
$= \left({2}^{\textcolor{red}{6}} . {a}^{2 . \textcolor{red}{6}}\right)$
$= \left({2}^{\textcolor{red}{6}} . {a}^{12}\right)$
 =color(red)( 64a^12