For all positive integers w and y, where w y, let the operation ☺ be defined by w ☺ y = (2^(w + y))/(2^(w - y)).

Question

For all positive integers w and y, where w > y, let the operation ☺ be defined by w ☺ y = (2^(w + y))/(2^(w - y)).

For how many positive integers w is w ☺ 1 equal to 4?

A. More than four
B. None
C. One 
D. Two
E. Four

*I found only 3/5 as the answer but it was less than one so I picked B. It was wrong and the answer key said it was A. Why is that?