Simplify 16(1/2x)^4

$16 {(\frac{1}{2} x)}^{4}$

Combine $\frac{1}{2}$ and $x$ .

$16 {(\frac{x}{2})}^{4}$

Simplify the expression.

Apply the product rule to $\frac{x}{2}$ .

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

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

$16 \frac{x^{4}}{16}$

$16 \frac{x^{4}}{16}$

Cancel the common factor of $16$ .

Cancel the common factor.

$16 \frac{x^{4}}{16}$

Rewrite the expression.

$x^{4}$

$x^{4}$

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