Algebra Examples

$\sqrt[5]{\frac{x^{15} z^{5}}{y^{50}}}$

Step 1

Rewrite $x^{15} z^{5}$ as ${(x^{3} z)}^{5}$ .

$\sqrt[5]{\frac{{(x^{3} z)}^{5}}{y^{50}}}$

Step 2

Rewrite $y^{50}$ as ${(y^{10})}^{5}$ .

$\sqrt[5]{\frac{{(x^{3} z)}^{5}}{{(y^{10})}^{5}}}$

Step 3

Rewrite $\frac{{(x^{3} z)}^{5}}{{(y^{10})}^{5}}$ as ${(\frac{x^{3} z}{y^{10}})}^{5}$ .

$\sqrt[5]{{(\frac{x^{3} z}{y^{10}})}^{5}}$

Step 4

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

$\frac{x^{3} z}{y^{10}}$