Calculate (1/2)²: Finding the Square of One-Half

To solve this problem, we must square the fraction $\left(\frac{1}{2}\right)$. The exponent rule for fractions states that when you raise a fraction $\left(\frac{a}{b}\right)$ to the power of $n$, it becomes $\frac{a^n}{b^n}$.

Here, in the fraction $\left(\frac{1}{2}\right)$, we identify the numerator $a = 1$ and the denominator $b = 2$, with the exponent $n = 2$.

Applying the formula, we calculate the result:
$\left(\frac{1}{2}\right)^2 = \frac{1^2}{2^2}$

Therefore, the expression that corresponds to $\left(\frac{1}{2}\right)^2$ is $\frac{1^2}{2^2}$, which directly matches the given choice.

The correct choice from the answer options is:

• Choice 3: $\frac{1^2}{2^2}$

Therefore, the solution to the problem is $\frac{1^2}{2^2}$.