# How do you simplify 3x^2•(2x^2)^3?

Mar 22, 2018

$24 {x}^{8}$
$3 {x}^{2} \cdot {\left(2 {x}^{2}\right)}^{3}$
$\Rightarrow 3 {x}^{2} \cdot 8 {x}^{6}$ (law of indices : ${\left({a}^{m}\right)}^{n} = {a}^{m n}$ )
$\Rightarrow 24 {x}^{8}$ (law of indices : ${a}^{m} + {a}^{n} = {a}^{m + n}$ )