Simplify cube root of (x^3)/8

$\sqrt[3]{\frac{x^{3}}{8}}$

Step 1

Rewrite $8$ as $2^{3}$ .

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

Step 2

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

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

Step 3

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

$\frac{x}{2}$