What is the following product? Assume x is greater than or equal to 0 cube root of x squared times 4th root of x cubed

Rewrite each radical using fractional exponents: ∛(x²) = x^(2/3) and ⁴√(x³) = x^(3/4). Multiplying powers of the same base means adding exponents, so x^(2/3) · x^(3/4) = x^(8/12 + 9/12) = x^(17/12). This is x · x^(5/12), or x times the 12th root of x⁵, which is choice C.

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