Compute 16^(3/4).

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Multiple Choice

Compute 16^(3/4).

Explanation:
Fractional exponents let you treat the exponent 3/4 as first taking the fourth root and then cubing. Write 16 as 2^4, so 16^(3/4) = (2^4)^(3/4) = 2^(4*(3/4)) = 2^3 = 8. Equivalently, take the fourth root of 16 to get 2, then cube it to get 8.

Fractional exponents let you treat the exponent 3/4 as first taking the fourth root and then cubing. Write 16 as 2^4, so 16^(3/4) = (2^4)^(3/4) = 2^(4*(3/4)) = 2^3 = 8. Equivalently, take the fourth root of 16 to get 2, then cube it to get 8.

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