Evaluate 1/((1/2)^2)

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

Simplify the denominator.

Apply the product rule to $\frac{1}{2}$ .

$\frac{1}{\frac{1^{2}}{2^{2}}}$

One to any power is one.

$\frac{1}{\frac{1}{2^{2}}}$

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

$\frac{1}{\frac{1}{4}}$

Multiply the numerator by the reciprocal of the denominator.

$1 \cdot 4$

Multiply $4$ by $1$ .

$4$