Advanced Math practice question

Answer: B. x^(5/3)

For a positive base, the nth root of x^m equals x^(m/n), so ∛(x⁵) = x^(5/3). A encodes inverting the fraction, putting the root index in the numerator instead of the denominator. C encodes subtracting the index from the exponent (5 − 3 = 2). D encodes multiplying the exponent by the index (5 × 3 = 15) instead of dividing.

Why the other answers are wrong

A. x^(3/5)

You flipped the fraction — the root index 3 goes in the denominator and the exponent 5 in the numerator, giving x^(5/3).

C. x²

You subtracted the index from the exponent (5 − 3), but a radical converts to division: 5/3, not 5 − 3.

D. x^15

You multiplied the exponent by the root index (5 × 3), but the nth root divides the exponent by n, giving x^(5/3).

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