Pre-Algebra Examples

$\sqrt[5]{2 a^{10} b}$

Step 1

Rewrite $2 a^{10} b$ as ${(a^{2})}^{5} \cdot (2 b)$ .

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Step 1.1

Rewrite $a^{10}$ as ${(a^{2})}^{5}$ .

$\sqrt[5]{2 {(a^{2})}^{5} b}$

Step 1.2

Reorder $2$ and ${(a^{2})}^{5}$ .

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

Step 1.3

Add parentheses.

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

Step 2

Pull terms out from under the radical.

$a^{2} \sqrt[5]{2 b}$