You must simplify the expresision given, as it is shown below:
1. The exponents can be simplify if they are divisible between index 4 of the root. So, let's decompose the number 144:
144=(2˄4)(3˄2)
2. Now, you have to divide the exponents between index 4.When you do this, you obtain:
[(144)(a˄12)(b˄3)]˄1/4
[(2˄4)(3˄2)(a˄12)(b˄3)]˄1/4
2a˄3[(3˄2)(b˄3)]˄1/4
2a˄3(9xb˄3)˄1/4
Then, the correct answer is the first option: 2a˄3(9xb˄3)˄1/4