Following the basic rules of dividing indices

Question

How can (1+x)^2 / (1+x)^1/2 = (1+x)^2/3?

Answer 1

(1 + x)^2 / (1 + x)^1/2  =  (1 + x)^(2 - 1/2) 

                                    =  (1 + x)^(4 - 1)/2 

                                    =  (1 + x)^3/2 

Answer :

(1 + x)^2 / (1 + x)^1/2  =  (1 + x)^3/2.