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Evaluate (1/4)^2

Problem

(1/4)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 into the formula by squaring the numerator 1 and the denominator 4

1/4

  1. Calculate the squares of the individual numbers.

1=1

4=16

  1. Combine the results to form the final fraction.

1/16

Final Answer

(1/4)2=1/16


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