Simplify cube root of x/27

$\sqrt[3]{\frac{x}{27}}$

Step 1

Rewrite $\frac{x}{27}$ as ${(\frac{1}{3})}^{3} x$ .

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

$\sqrt[3]{\frac{1^{3} x}{27}}$

Factor the perfect power $3^{3}$ out of $27$ .

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

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

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

Step 2

Pull terms out from under the radical.

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

Step 3

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

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