Simplify cube root of (64x^3)/8

$\sqrt[3]{\frac{64 x^{3}}{8}}$

Reduce the expression by cancelling the common factors.

Reduce the expression $\frac{64 x^{3}}{8}$ by cancelling the common factors.

Factor $8$ out of $64 x^{3}$ .

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

Factor $8$ out of $8$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $8 x^{3}$ by $1$ .

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

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

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

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

$2 x$