Calculate (2/3)²: Finding the Square of a Fraction

To solve this problem, we will apply the exponent rule for fractions:

• Step 1: We are given the expression $\left(\frac{2}{3}\right)^2$.
• Step 2: Apply the fraction exponent rule: $\left(\frac{a}{b}\right)^n = \frac{a^n}{b^n}$.

Applying this rule to our expression:

$\left(\frac{2}{3}\right)^2 = \frac{2^2}{3^2}$.

Calculating further would give:

$\frac{2^2}{3^2} = \frac{4}{9}$.

However, the question asks to only match the expression, which is $\frac{2^2}{3^2}$.

The correct choice from the given options is $\frac{2^2}{3^2}$.

This matches Choice 3 in the provided multiple choices.