Each week Manhattan GMAT posts a GMAT question on our blog and follows up with the answer the next day. Are you up for the challenge?
If the product of all the unique positive divisors of n, a positive integer which is not a perfect cube, is n2, then the product of all the unique positive divisors of n2 is
(A) n3
(B) n4
(C) n6
(D) n8
(E) n9