Finite Math Examples

$\sqrt[3]{128 x^{15}}$

Step 1

Rewrite $128 x^{15}$ as ${(4 x^{5})}^{3} \cdot 2$ .

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Step 1.1

Factor $64$ out of $128$ .

$\sqrt[3]{64 (2) x^{15}}$

Step 1.2

Rewrite $64$ as $4^{3}$ .

$\sqrt[3]{4^{3} \cdot 2 x^{15}}$

Step 1.3

Rewrite $x^{15}$ as ${(x^{5})}^{3}$ .

$\sqrt[3]{4^{3} \cdot 2 {(x^{5})}^{3}}$

Step 1.4

Move $2$ .

$\sqrt[3]{4^{3} {(x^{5})}^{3} \cdot 2}$

Step 1.5

Rewrite $4^{3} {(x^{5})}^{3}$ as ${(4 x^{5})}^{3}$ .

$\sqrt[3]{{(4 x^{5})}^{3} \cdot 2}$

Step 2

Pull terms out from under the radical.

$4 x^{5} \sqrt[3]{2}$