Evaluate (1/3)^3

Problem

(1/3)3

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)

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

(1/3)3=1/3

3. Calculate the powers in the numerator and the denominator.

1=1⋅1⋅1=1

3=3⋅3⋅3=27

4. Combine the results to find the final fraction.

1/27

Final Answer

(1/3)3=1/27

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