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

2. Evaluate the numerator by squaring the negative number, noting that a negative number multiplied by itself results in a positive value.

(−3)2=9

3. Evaluate the denominator by squaring the number.

2=4

4. Combine the results into a single fraction.

9/4

Final Answer

(−3/2)2=9/4

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