Evaluate (1/3)^4

Problem

(1/3)4

Solution

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

(1/3)4=1/3

2. Evaluate the numerator by calculating 1 raised to the power of 4

1=1

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

3=3⋅3⋅3⋅3

3=81

4. Combine the results to form the final fraction.

1/81

Final Answer

(1/3)4=1/81

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