# How do you write the expression (root4(2))^5 in exponential form?

$2 \cdot {2}^{\frac{1}{4}}$
${\left(\sqrt[4]{2}\right)}^{5}$
$= \sqrt[4]{{2}^{5}}$
$= \sqrt[4]{{2}^{4} \cdot 2}$
$= 2 \sqrt[4]{2}$
$= 2 \cdot {2}^{\frac{1}{4}}$