"What is the ninth root of 32^3 in simplified radical form with the smallest possible index?" A. 2 * square root of 4. B. 2 * third root of 2. C. 2 * third root of 4. D. 4 * third root of 3

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Question:

"What is the ninth root of 32^3 in simplified radical form with the smallest possible index?" A. 2 * square root of 4. B. 2 * third root of 2. C. 2 * third root of 4. D. 4 * third root of 3

Answers

(32^3)^1/9 = 32^1/3 (2^3*4)^3/9 = (2^3*4)^1/3(2^3)^1/3*4^1/3 = 2*4^1/3which means that the answer would be 2*third root of 4

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