Simplify fourth root of (x^4)/81

$\sqrt[4]{\frac{x^{4}}{81}}$

Step 1

Rewrite $81$ as $3^{4}$ .

$\sqrt[4]{\frac{x^{4}}{3^{4}}}$

Step 2

Rewrite $\frac{x^{4}}{3^{4}}$ as ${(\frac{x}{3})}^{4}$ .

$\sqrt[4]{{(\frac{x}{3})}^{4}}$

Step 3

Pull terms out from under the radical, assuming positive real numbers.

$\frac{x}{3}$