For x 0, which expression is equivalent to (x^(1/3))⁶?

Question

For x > 0, which expression is equivalent to (x^(1/3))⁶?

Accepted Answer

A. x². A power of a power multiplies the exponents: (1/3) × 6 = 2. So (x^(1/3))⁶ = x².

Answer

B. x³ — x³ would come from 6/2; the exponent is 6 × 1/3 = 2.

Answer

C. x^(1/2) — x^(1/2) comes from 1/3 + ... or dividing; multiply the exponents: 6 × 1/3.

Answer

D. x¹⁸ — x¹⁸ divides 6 by 1/3 instead of multiplying by it.

Advanced Math practice question