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?
The operation x&n for all positive integers n greater than 1 is defined in the following manner:
x&n = x raised to the power of x&(n–1).
If x&1 = x, which of the following expressions has the greatest value?
(A) (3&2)&2
(B) 3&(1&3)
(C) (2&3)&2
(D) 2&(2&3)
(E) (2&2)&3