Algebra Examples

$- \sqrt{25} \cdot \sqrt[5]{- 32}$

Step 1

Rewrite $25$ as $5^{2}$ .

$- \sqrt{5^{2}} \cdot \sqrt[5]{- 32}$

Step 2

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

$- 1 \cdot 5 \cdot \sqrt[5]{- 32}$

Step 3

Multiply $- 1$ by $5$ .

$- 5 \cdot \sqrt[5]{- 32}$

Step 4

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

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

Step 5

Multiply.

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Step 5.1

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

$- 5 \cdot - 2$

Step 5.2

Multiply $- 5$ by $- 2$ .

$10$