Algebra Examples

$\sqrt[4]{\frac{16 a^{4}}{b^{4} c^{8}}}$

Step 1

Rewrite $16 a^{4}$ as ${(2 a)}^{4}$ .

$\sqrt[4]{\frac{{(2 a)}^{4}}{b^{4} c^{8}}}$

Step 2

Rewrite $b^{4} c^{8}$ as ${(b c^{2})}^{4}$ .

$\sqrt[4]{\frac{{(2 a)}^{4}}{{(b c^{2})}^{4}}}$

Step 3

Rewrite $\frac{{(2 a)}^{4}}{{(b c^{2})}^{4}}$ as ${(\frac{2 a}{b c^{2}})}^{4}$ .

$\sqrt[4]{{(\frac{2 a}{b c^{2}})}^{4}}$

Step 4

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

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