Algebra Examples

$\sqrt[3]{\frac{1000}{- 1331}}$

Step 1

Move the negative in front of the fraction.

$\sqrt[3]{- \frac{1000}{1331}}$

Step 2

Rewrite $- \frac{1000}{1331}$ as ${(- \frac{10}{11})}^{3}$ .

$\sqrt[3]{{(- \frac{10}{11})}^{3}}$

Step 3

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

$- \frac{10}{11}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{10}{11}$

Decimal Form:

$- 0.\overline{90}$