Simplify cube root of x/8

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

Step 1

Rewrite $\frac{x}{8}$ as ${(\frac{1}{2})}^{3} x$ .

Factor the perfect power $1^{3}$ out of $x$ .

$\sqrt[3]{\frac{1^{3} x}{8}}$

Factor the perfect power $2^{3}$ out of $8$ .

$\sqrt[3]{\frac{1^{3} x}{2^{3} \cdot 1}}$

Rearrange the fraction $\frac{1^{3} x}{2^{3} \cdot 1}$ .

$\sqrt[3]{{(\frac{1}{2})}^{3} x}$

Step 2

Pull terms out from under the radical.

$\frac{1}{2} \sqrt[3]{x}$

Step 3

Combine $\frac{1}{2}$ and $\sqrt[3]{x}$ .

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