Algebra Examples

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

Step 1

Cancel the common factor of $v$ .

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Step 1.1

Cancel the common factor.

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

Step 1.2

Rewrite the expression.

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

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

Step 2

Simplify the numerator.

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Step 2.1

Apply the product rule to $2 x$ .

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

Step 2.2

Raise $2$ to the power of $2$ .

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

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

Step 3

Simplify the denominator.

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Step 3.1

Apply the product rule to $5 y$ .

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

Step 3.2

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

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

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

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$