Simplify (v((2x)^2))/(v((5y)^4))

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

Step 1

Cancel the common factor of $v$ .

Cancel the common factor.

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

Rewrite the expression.

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

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

Step 2

Simplify the numerator.

Apply the product rule to $2 x$ .

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

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.

Apply the product rule to $5 y$ .

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

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

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

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

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