# How do you simplify (5^sqrt2)^sqrt8?

${\left({5}^{\sqrt{2}}\right)}^{\sqrt{8}} = \textcolor{g r e e n}{625}$
$\textcolor{w h i t e}{\text{XXX}} {\left({x}^{a}\right)}^{b} = {x}^{a b}$
$\textcolor{w h i t e}{\text{XXX}} {\left({5}^{\sqrt{2}}\right)}^{\sqrt{8}} = {5}^{\sqrt{16}} = {5}^{4} = 625$