Evaluate (5/2)^2

Problem

(5/2)2

Solution

1. Apply the power of a quotient rule, which states that for any real numbers a and b (where b≠0 and any integer n the expression is equivalent to raising both the numerator and the denominator to that power.

(a/b)n=(an)/(bn)

2. Distribute the exponent to both the numerator 5 and the denominator 2

5/2

3. Calculate the squares of the individual numbers.

5=25

2=4

4. Combine the results into a single fraction.

25/4

Final Answer

(5/2)2=25/4

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