need answer with explanation of steps to: (2a^1/2/b^1/3)^6

Question

need steps broken down using words i.e, that apply : principal root, product rule, quotient rule, reciprocal and nth root

Answer 1

(2 a^1/2 / b^1/3)^6 = (2 a^1/2)^6 / (b^1/3)^6  by quotient rule

 

                               = 2^6 · (a^1/2)^6 / (b^1/3)^6  by product rule

 

                               = 64 a^3 / b^2  by power rule ( (aⁿ)^m = a^nm )