Simplify ( cube root of 27x)/( cube root of 9)

$\frac{\sqrt[3]{27 x}}{\sqrt[3]{9}}$

Step 1

Combine $\sqrt[3]{27 x}$ and $\sqrt[3]{9}$ into a single radical.

$\sqrt[3]{\frac{27 x}{9}}$

Step 2

Reduce the expression by cancelling the common factors.

Reduce the expression $\frac{27 x}{9}$ by cancelling the common factors.

Factor $9$ out of $27 x$ .

$\sqrt[3]{\frac{9 (3 x)}{9}}$

Factor $9$ out of $9$ .

$\sqrt[3]{\frac{9 (3 x)}{9 (1)}}$

Cancel the common factor.

$\sqrt[3]{\frac{9 (3 x)}{9 \cdot 1}}$

Rewrite the expression.

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

Divide $3 x$ by $1$ .

$\sqrt[3]{3 x}$