Square of a Fraction Problem: Simplifying (1/2)²

To solve this problem, we'll follow these steps:

• Step 1: Identify the fraction to be squared, which is $\frac{1}{2}$.
• Step 2: Apply the exponent rule for fractions.
• Step 3: Calculate the result by squaring both the numerator and denominator.

Now, let's work through each step:
Step 1: We have the fraction $\frac{1}{2}$.
Step 2: When squaring a fraction, apply the formula $(\frac{a}{b})^n = \frac{a^n}{b^n}$.
Step 3: Using $(\frac{1}{2})^2 = \frac{1^2}{2^2}$, we calculate
- The square of the numerator is $1^2 = 1$.
- The square of the denominator is $2^2 = 4$.
- Therefore, $(\frac{1}{2})^2 = \frac{1}{4}$.

Thus, the solution to the problem is $\frac{1}{4}$.