Algebra Examples

$\sqrt[3]{- 125} \cdot \sqrt[4]{16}$

Step 1

Rewrite $- 125$ as ${(- 5)}^{3}$ .

$\sqrt[3]{{(- 5)}^{3}} \cdot \sqrt[4]{16}$

Step 2

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

$- 5 \cdot \sqrt[4]{16}$

Step 3

Rewrite $16$ as $2^{4}$ .

$- 5 \cdot \sqrt[4]{2^{4}}$

Step 4

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

$- 5 \cdot 2$

Step 5

Multiply $- 5$ by $2$ .

$- 10$