Algebra Examples

$\sqrt[4]{\frac{x^{12}}{y^{16}}}$

Step 1

Rewrite $x^{12}$ as ${(x^{3})}^{4}$ .

$\sqrt[4]{\frac{{(x^{3})}^{4}}{y^{16}}}$

Step 2

Rewrite $y^{16}$ as ${(y^{4})}^{4}$ .

$\sqrt[4]{\frac{{(x^{3})}^{4}}{{(y^{4})}^{4}}}$

Step 3

Rewrite $\frac{{(x^{3})}^{4}}{{(y^{4})}^{4}}$ as ${(\frac{x^{3}}{y^{4}})}^{4}$ .

$\sqrt[4]{{(\frac{x^{3}}{y^{4}})}^{4}}$

Step 4

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

$\frac{x^{3}}{y^{4}}$