Algebra Examples

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

Step 1

Simplify the numerator.

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Step 1.1

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

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

Step 1.2

Pull terms out from under the radical.

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

Step 1.3

Remove non-negative terms from the absolute value.

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

Step 2

Simplify the denominator.

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Step 2.1

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

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

Step 2.2

Pull terms out from under the radical.

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

Step 2.3

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

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