Evaluate (3/5)^3

Problem

(3/5)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.

(3/5)3=3/5

2. Calculate the numerator by multiplying the base by itself three times.

3=3⋅3⋅3=27

3. Calculate the denominator by multiplying the base by itself three times.

5=5⋅5⋅5=125

4. Combine the results into a single fraction.

27/125

Final Answer

(3/5)3=27/125

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