Trigonometry Examples

$\sqrt[6]{- \frac{1}{729}}$

Step 1

Rewrite $- \frac{1}{729}$ as ${(\frac{i}{3})}^{6}$ .

$\sqrt[6]{{(\frac{i}{3})}^{6}}$

Step 2

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

$\frac{i}{3}$