Algebra Examples

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

Step 1

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

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

Step 2

Simplify the denominator.

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Step 2.1

Apply the product rule to $5 y$ .

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

Step 2.2

Raise $5$ to the power of $4$ .

$\frac{2 x}{\sqrt{625 y^{4}}}$

Step 2.3

Rewrite $625 y^{4}$ as ${(25 y^{2})}^{2}$ .

$\frac{2 x}{\sqrt{{(25 y^{2})}^{2}}}$

Step 2.4

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

$\frac{2 x}{25 y^{2}}$