Evaluate (1/2)²: Computing the Square of One-Half

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

• Step 1: Identify the given fraction and power: $\frac{1}{2}$ and the power $2$.
• Step 2: Apply the formula $(\frac{a}{b})^n = \frac{a^n}{b^n}$.
• Step 3: Calculate the numerator as $1^2 = 1$.
• Step 4: Calculate the denominator as $2^2 = 4$.
• Step 5: Combine the results to find $\left(\frac{1}{2}\right)^2 = \frac{1}{4}$.

Now, let's work through each step in detail:
Step 1: The fraction given is $\frac{1}{2}$ and the power is 2.
Step 2: Applying the formula $(\frac{a}{b})^n = \frac{a^n}{b^n}$, we have:
Step 3: Calculate $1^2 = 1$.
Step 4: Calculate $2^2 = 4$.
Step 5: Compile these to get $\frac{1}{4}$.

Therefore, the solution to the problem is $\frac{1}{4}$, which matches choice 2.