Question

How to solve the problem step by step.

Answer 1

$\sqrt[4]{x^{6}} = x^{\frac{6}{4}} = x^{\frac{3}{2}}$
$\sqrt[12]{x^{9}}= x^{\frac{9}{12}} = x^{\frac{3}{4}}$

$\sqrt[4]{x^{6}} \cdot \sqrt[12]{x^{9}} = x^{\frac{3}{2}} \cdot x^{\frac{3}{4}}$
$= x^{\frac{3}{2} + \frac{3}{4}}$
$= x^{\frac{6 + 3}{4}}$
$= x^{\frac{9}{4}}$