# How do you multiply square root of x times 4th root of x times 9th root of x?

Jul 19, 2018

$\sqrt[36]{{x}^{31}}$

#### Explanation:

$\sqrt{x} \cdot \sqrt[4]{x} \cdot \sqrt[9]{x}$

${x}^{\frac{1}{2}} \cdot {x}^{\frac{1}{4}} \cdot {x}^{\frac{1}{9}}$

${x}^{\frac{31}{36}}$
$\sqrt[36]{{x}^{31}}$