What is the simplified form of the following expression? Assume x is not equal to 0 5th root of the fraction with numerator 10 x and denominator 3 x cubed

Rewrite the expression as the fifth root of 10/(3x²). To take 3x outside the fifth root, express the radicand with denominator (3x)⁵ = 243x⁵. The matching numerator is 810x³, since 810x³/(243x⁵) = 10/(3x²). So the expression is the fifth root of 810x³ divided by 3x, which is choice D.

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