Pre-Algebra Examples

$\sqrt[4]{256 k p^{10}}$

Step 1

Rewrite $256 k p^{10}$ as ${(4 p^{2})}^{4} (k p^{2})$ .

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Step 1.1

Rewrite $256$ as $4^{4}$ .

$\sqrt[4]{4^{4} k p^{10}}$

Step 1.2

Factor out $p^{8}$ .

$\sqrt[4]{4^{4} k (p^{8} p^{2})}$

Step 1.3

Rewrite $p^{8}$ as ${(p^{2})}^{4}$ .

$\sqrt[4]{4^{4} k ({(p^{2})}^{4} p^{2})}$

Step 1.4

Move $k$ .

$\sqrt[4]{4^{4} {(p^{2})}^{4} k p^{2}}$

Step 1.5

Rewrite $4^{4} {(p^{2})}^{4}$ as ${(4 p^{2})}^{4}$ .

$\sqrt[4]{{(4 p^{2})}^{4} k p^{2}}$

Step 1.6

Add parentheses.

$\sqrt[4]{{(4 p^{2})}^{4} (k p^{2})}$

Step 2

Pull terms out from under the radical.

$4 p^{2} \sqrt[4]{k p^{2}}$