Simplify the Radical Expression ( square root of x^12)/( square root of 8100)

$\frac{\sqrt{x^{12}}}{\sqrt{8100}}$

Simplify the numerator.

Rewrite $x^{12}$ as ${(x^{6})}^{2}$ .

$\frac{\sqrt{{(x^{6})}^{2}}}{\sqrt{8100}}$

Pull terms out from under the radical.

$\frac{| x^{6} |}{\sqrt{8100}}$

Remove non-negative terms from the absolute value.

$\frac{x^{6}}{\sqrt{8100}}$

Simplify the denominator.

Rewrite $8100$ as $90^{2}$ .

$\frac{x^{6}}{\sqrt{90^{2}}}$

Pull terms out from under the radical.

$\frac{x^{6}}{| 90 |}$

The absolute value is the distance between a number and zero. The distance between $0$ and $90$ is $90$ .

$\frac{x^{6}}{90}$