Simplify 27 cube root of (x^3)/27

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

Rewrite $27$ as $3^{3}$ .

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

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

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

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

$27 \frac{x}{3}$

Cancel the common factor of $3$ .

Factor $3$ out of $27$ .

$3 (9) \frac{x}{3}$

Cancel the common factor.

$3 \cdot 9 \frac{x}{3}$

Rewrite the expression.

$9 x$