Which of the following is equivalent to (a1/2 * b1/3) 1/2

We are given the expression:

(a^ (1/2) * b^ (1/3)) ^ (1/2)

The first step would be to simplify the figures in the inner parenthesis,

= (a^0.5 * b^0.33) ^0.5

= (a^ (0.5*0.5) * b (0.33 * 0.5))

= (a^0.25 * b^0.167)

The final expression is a^ (1/4) * b^ (1/6)