Evaluate (3/2)^2

Problem

(3/2)2

Solution

1. Apply the power of a quotient rule, which states that (a/b)n=(an)/(bn)

(3/2)2=3/2

2. Evaluate the exponent in the numerator by calculating 3×3

3=9

3. Evaluate the exponent in the denominator by calculating 2×2

2=4

4. Combine the results into a single fraction.

9/4

Final Answer

(3/2)2=9/4

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