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Evaluate (3/4)^2

Problem

(3/4)2

Solution

  1. Apply the power of a quotient rule, which states that for any fraction raised to a power, you raise both the numerator and the denominator to that power.

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

  1. Substitute the values from the expression into the rule.

(3/4)2=3/4

  1. Calculate the squares of the numerator and the denominator.

3=9

4=16

  1. Combine the results into a single fraction.

9/16

Final Answer

(3/4)2=9/16


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