Simplify fourth root of (16x^4)/81

$\sqrt[4]{\frac{16 x^{4}}{81}}$

Step 1

Rewrite $16 x^{4}$ as ${(2 x)}^{4}$ .

$\sqrt[4]{\frac{{(2 x)}^{4}}{81}}$

Step 2

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

$\sqrt[4]{\frac{{(2 x)}^{4}}{3^{4}}}$

Step 3

Rewrite $\frac{{(2 x)}^{4}}{3^{4}}$ as ${(\frac{2 x}{3})}^{4}$ .

$\sqrt[4]{{(\frac{2 x}{3})}^{4}}$

Step 4

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

$\frac{2 x}{3}$