Evaluate 27^(1/3).

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Multiple Choice

Evaluate 27^(1/3).

Explanation:
Taking a power with exponent 1/3 means finding the cube root. We’re looking for a number that cubed gives 27. Since 27 equals 3^3, the cube root is 3. Using the rule (a^b)^c = a^(bc), (3^3)^(1/3) = 3^(3·1/3) = 3^1 = 3. So 27^(1/3) = 3. Quick check: 3^3 = 27, which confirms the result. The other options come from different roots or powers and don’t satisfy cubing to 27.

Taking a power with exponent 1/3 means finding the cube root. We’re looking for a number that cubed gives 27. Since 27 equals 3^3, the cube root is 3. Using the rule (a^b)^c = a^(bc), (3^3)^(1/3) = 3^(3·1/3) = 3^1 = 3. So 27^(1/3) = 3. Quick check: 3^3 = 27, which confirms the result. The other options come from different roots or powers and don’t satisfy cubing to 27.

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