If x > 0, which of the following is equivalent to (x^(1/2) * x^(1/3)) / x^(1/6)?

✓ Correct Answer: Option B

Using exponent rules, x^a * x^b = x^(a+b) and x^a / x^b = x^(a-b). So, (x^(1/2) * x^(1/3)) / x^(1/6) = x^(1/2 + 1/3 - 1/6) = x^(3/6 + 2/6 - 1/6) = x^(4/6) = x^(2/3).