Simplify ((2x)^4)/((2x)^2)

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

Cancel the common factor of ${(2 x)}^{4}$ and ${(2 x)}^{2}$ .

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Factor ${(2 x)}^{2}$ out of ${(2 x)}^{4}$ .

$\frac{{(2 x)}^{2} {(2 x)}^{2}}{{(2 x)}^{2}}$

Cancel the common factors.

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Multiply by $1$ .

$\frac{{(2 x)}^{2} {(2 x)}^{2}}{{(2 x)}^{2} \cdot 1}$

Cancel the common factor.

$\frac{{(2 x)}^{2} {(2 x)}^{2}}{{(2 x)}^{2} \cdot 1}$

Rewrite the expression.

$\frac{{(2 x)}^{2}}{1}$

Divide ${(2 x)}^{2}$ by $1$ .

${(2 x)}^{2}$

Simplify the expression.

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Apply the product rule to $2 x$ .

$2^{2} x^{2}$

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

$4 x^{2}$

Simplify ((2x)^4)/((2x)^2)

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