Algebra Examples

$\sqrt[5]{\frac{m^{10}}{n^{5}}}$

Step 1

Rewrite $m^{10}$ as ${(m^{2})}^{5}$ .

$\sqrt[5]{\frac{{(m^{2})}^{5}}{n^{5}}}$

Step 2

Rewrite $\frac{{(m^{2})}^{5}}{n^{5}}$ as ${(\frac{m^{2}}{n})}^{5}$ .

$\sqrt[5]{{(\frac{m^{2}}{n})}^{5}}$

Step 3

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

$\frac{m^{2}}{n}$