Evaluate (1/4)^3

Problem

(1/4)3

Solution

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

(1/4)3=1/4

2. Evaluate the numerator by calculating 1 raised to the power of 3

1=1

3. Evaluate the denominator by calculating 4 raised to the power of 3 which is 4×4×4

4=64

4. Combine the results to form the final fraction.

1/64

Final Answer

(1/4)3=1/64

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