thetrojantv
thetrojantv thetrojantv
  • 25-02-2018
  • Mathematics
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carlosego
carlosego carlosego
  • 25-02-2018

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 


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