# How do you simplify root3(a^4b^5)?

Mar 4, 2018

$a b \sqrt[3]{a {b}^{2}}$
Note that ${a}^{4}$ is the same as ${a}^{3} \times a$
Note that ${b}^{5}$ is the same as ${b}^{3} \times {b}^{2}$
So $\sqrt[3]{{a}^{4} {b}^{5}} = \sqrt[3]{{a}^{3} \times a \times {b}^{3} \times {b}^{2}}$
$\textcolor{w h i t e}{\text{ddddddd}} = a b \sqrt[3]{a {b}^{2}}$