Algebra Examples

$\sqrt{\frac{a^{10}}{b^{6}}}$

Step 1

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

$\sqrt{\frac{{(a^{5})}^{2}}{b^{6}}}$

Step 2

Rewrite $b^{6}$ as ${(b^{3})}^{2}$ .

$\sqrt{\frac{{(a^{5})}^{2}}{{(b^{3})}^{2}}}$

Step 3

Rewrite $\frac{{(a^{5})}^{2}}{{(b^{3})}^{2}}$ as ${(\frac{a^{5}}{b^{3}})}^{2}$ .

$\sqrt{{(\frac{a^{5}}{b^{3}})}^{2}}$

Step 4

Pull terms out from under the radical.

$| \frac{a^{5}}{b^{3}} |$