Trigonometry Examples

$\sqrt[3]{\frac{a^{6} (b^{9})}{- 64}}$

Step 1

Move the negative in front of the fraction.

$\sqrt[3]{- \frac{a^{6} b^{9}}{64}}$

Step 2

Rewrite $- \frac{a^{6} b^{9}}{64}$ as ${(- \frac{a^{2} b^{3}}{4})}^{3}$ .

$\sqrt[3]{{(- \frac{a^{2} b^{3}}{4})}^{3}}$

Step 3

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

$- \frac{a^{2} b^{3}}{4}$