Evaluate (2/3)^3

Problem

(2/3)3

Solution

1. Apply the power of a quotient rule, which states that for any real numbers a and b (where b≠0 and integer n the exponent applies to both the numerator and the denominator.

(a/b)n=(an)/(bn)

2. Distribute the exponent to the numerator and the denominator.

2/3

3. Calculate the power in the numerator by multiplying 2 by itself three times.

2×2×2=8

4. Calculate the power in the denominator by multiplying 3 by itself three times.

3×3×3=27

Final Answer

(2/3)3=8/27

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