# How do you simplify root3(125x^3y^6z^9)?

$5 x {y}^{2} {z}^{3}$
$\sqrt[3]{125 {x}^{3} {y}^{6} {z}^{9}}$
$= {\left({5}^{3} {x}^{3} {y}^{6} {z}^{9}\right)}^{\frac{1}{3}}$
$= \left({5}^{3 \cdot \frac{1}{3}}\right) \left({x}^{3 \cdot \frac{1}{3}}\right) \left({y}^{6 \cdot \frac{1}{3}}\right) \left({z}^{9 \cdot \frac{1}{3}}\right)$
$= 5 x {y}^{2} {z}^{3}$