Finite Math Examples

$\sqrt[3]{- 80 a^{9}}$

Step 1

Rewrite $- 80 a^{9}$ as ${(- 2 a^{3})}^{3} \cdot 10$ .

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Step 1.1

Factor $- 8$ out of $- 80$ .

$\sqrt[3]{- 8 (10) a^{9}}$

Step 1.2

Rewrite $- 8$ as ${(- 2)}^{3}$ .

$\sqrt[3]{{(- 2)}^{3} \cdot 10 a^{9}}$

Step 1.3

Rewrite $a^{9}$ as ${(a^{3})}^{3}$ .

$\sqrt[3]{{(- 2)}^{3} \cdot 10 {(a^{3})}^{3}}$

Step 1.4

Move $10$ .

$\sqrt[3]{{(- 2)}^{3} {(a^{3})}^{3} \cdot 10}$

Step 1.5

Rewrite ${(- 2)}^{3} {(a^{3})}^{3}$ as ${(- 2 a^{3})}^{3}$ .

$\sqrt[3]{{(- 2 a^{3})}^{3} \cdot 10}$

Step 2

Pull terms out from under the radical.

$- 2 a^{3} \sqrt[3]{10}$