Question

listen
simplify the expression.
$sqrt6{\frac{g^{6}h}{h^{7}}} =$

Explanation:

Step1: Simplify fraction inside root

$\sqrt[6]{\frac{g^6h}{h^7}} = \sqrt[6]{\frac{g^6}{h^6}}$

Step2: Split root into two terms

$\sqrt[6]{\frac{g^6}{h^6}} = \frac{\sqrt[6]{g^6}}{\sqrt[6]{h^6}}$

Step3: Evaluate each 6th root

$\frac{\sqrt[6]{g^6}}{\sqrt[6]{h^6}} = \frac{g}{h}$

Answer:

$\frac{g}{h}$