Algebra Examples

$\sqrt[3]{\frac{1000 a^{6}}{b^{3}}}$

Step 1

Rewrite $1000 a^{6}$ as ${(10 a^{2})}^{3}$ .

$\sqrt[3]{\frac{{(10 a^{2})}^{3}}{b^{3}}}$

Step 2

Rewrite $\frac{{(10 a^{2})}^{3}}{b^{3}}$ as ${(\frac{10 a^{2}}{b})}^{3}$ .

$\sqrt[3]{{(\frac{10 a^{2}}{b})}^{3}}$

Step 3

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

$\frac{10 a^{2}}{b}$