Pre-Algebra Examples

$\sqrt{\frac{x^{10}}{64}}$

Step 1

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

$\sqrt{\frac{{(x^{5})}^{2}}{64}}$

Step 2

Rewrite $64$ as $8^{2}$ .

$\sqrt{\frac{{(x^{5})}^{2}}{8^{2}}}$

Step 3

Rewrite $\frac{{(x^{5})}^{2}}{8^{2}}$ as ${(\frac{x^{5}}{8})}^{2}$ .

$\sqrt{{(\frac{x^{5}}{8})}^{2}}$

Step 4

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

$\frac{x^{5}}{8}$