# How do you simplify root4(5)*root4(5)?

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