Evaluate ( cube root of 2)/( cube root of -128)

$\frac{\sqrt[3]{2}}{\sqrt[3]{- 128}}$

Combine $\sqrt[3]{2}$ and $\sqrt[3]{- 128}$ into a single radical.

$\sqrt[3]{\frac{2}{- 128}}$

Reduce the expression by cancelling the common factors.

Cancel the common factor of $2$ and $- 128$ .

Factor $2$ out of $2$ .

$\sqrt[3]{\frac{2 (1)}{- 128}}$

Cancel the common factors.

Factor $2$ out of $- 128$ .

$\sqrt[3]{\frac{2 \cdot 1}{2 \cdot - 64}}$

Cancel the common factor.

$\sqrt[3]{\frac{2 \cdot 1}{2 \cdot - 64}}$

Rewrite the expression.

$\sqrt[3]{\frac{1}{- 64}}$

Move the negative in front of the fraction.

$\sqrt[3]{- \frac{1}{64}}$

Rewrite $- \frac{1}{64}$ as ${(- \frac{1}{4})}^{3}$ .

$\sqrt[3]{{(- \frac{1}{4})}^{3}}$

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

$- \frac{1}{4}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{4}$

Decimal Form:

$- 0.25$