Write the Fraction in Simplest Form ((4v)^2)/(4v)

$\frac{{(4 v)}^{2}}{4 v}$

Simplify the numerator.

Apply the product rule to $4 v$ .

$\frac{4^{2} v^{2}}{4 v}$

Raise $4$ to the power of $2$ .

$\frac{16 v^{2}}{4 v}$

$\frac{16 v^{2}}{4 v}$

Cancel the common factor of $16$ and $4$ .

Factor $4$ out of $16 v^{2}$ .

$\frac{4 (4 v^{2})}{4 v}$

Cancel the common factors.

Factor $4$ out of $4 v$ .

$\frac{4 (4 v^{2})}{4 (v)}$

Cancel the common factor.

$\frac{4 (4 v^{2})}{4 v}$

Rewrite the expression.

$\frac{4 v^{2}}{v}$

$\frac{4 v^{2}}{v}$

$\frac{4 v^{2}}{v}$

Cancel the common factor of $v^{2}$ and $v$ .

Factor $v$ out of $4 v^{2}$ .

$\frac{v (4 v)}{v}$

Cancel the common factors.

Raise $v$ to the power of $1$ .

$\frac{v (4 v)}{v^{1}}$

Factor $v$ out of $v^{1}$ .

$\frac{v (4 v)}{v \cdot 1}$

Cancel the common factor.

$\frac{v (4 v)}{v \cdot 1}$

Rewrite the expression.

$\frac{4 v}{1}$

Divide $4 v$ by $1$ .

$4 v$

$4 v$

$4 v$

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