Evaluate the Squared Fraction: 1²/3² Simplified

To solve this problem, let's follow these steps:

• Step 1: Identify the given expression. We have $\frac{1^2}{3^2}$.
• Step 2: Apply the appropriate rule for powers of fractions: $\frac{a^m}{b^m} = \left(\frac{a}{b}\right)^m$.
• Step 3: Simplify the expression using this rule.

Now, let's proceed through each step in detail:

Step 1: We start with the given expression $\frac{1^2}{3^2}$.

Step 2: According to the rule for powers of fractions, we write this expression as:
$\frac{1^2}{3^2} = \left(\frac{1}{3}\right)^2$.

Step 3: This simplification converts both the numerator and the denominator's power into a single power of the fraction $\left(\frac{1}{3}\right)$.

Therefore, the expression $\frac{1^2}{3^2}$ is equivalent to $\left(\frac{1}{3}\right)^2$.

Comparing with the given answer choices, the correct choice is \( \text{Choice 2: } $\left(\frac{1}{3}\right)^2$.