Basic Math Examples

$- \sqrt[5]{- \frac{1}{32}} \div (- \frac{1}{4})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \sqrt[5]{- \frac{1}{32}} (- 4)$

Step 2

Rewrite $- \frac{1}{32}$ as ${(- \frac{1}{2})}^{5}$ .

$- \sqrt[5]{{(- \frac{1}{2})}^{5}} \cdot - 4$

Step 3

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

$- - \frac{1}{2} \cdot - 4$

Step 4

Multiply $- - \frac{1}{2}$ .

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Step 4.1

Multiply $- 1$ by $- 1$ .

$1 (\frac{1}{2}) \cdot - 4$

Step 4.2

Multiply $\frac{1}{2}$ by $1$ .

$\frac{1}{2} \cdot - 4$

Step 5

Cancel the common factor of $2$ .

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Step 5.1

Factor $2$ out of $- 4$ .

$\frac{1}{2} \cdot (2 (- 2))$

Step 5.2

Cancel the common factor.

$\frac{1}{2} \cdot (2 \cdot - 2)$

Step 5.3

Rewrite the expression.

$- 2$