Question

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Answer 1

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