Pre-Algebra Examples

$\sqrt{\frac{x^{4}}{16 y^{10}}}$

Step 1

Rewrite $x^{4}$ as ${(x^{2})}^{2}$ .

$\sqrt{\frac{{(x^{2})}^{2}}{16 y^{10}}}$

Step 2

Rewrite $16 y^{10}$ as ${(4 y^{5})}^{2}$ .

$\sqrt{\frac{{(x^{2})}^{2}}{{(4 y^{5})}^{2}}}$

Step 3

Rewrite $\frac{{(x^{2})}^{2}}{{(4 y^{5})}^{2}}$ as ${(\frac{x^{2}}{4 y^{5}})}^{2}$ .

$\sqrt{{(\frac{x^{2}}{4 y^{5}})}^{2}}$

Step 4

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

$\frac{x^{2}}{4 y^{5}}$