If a and b are integers and a is not equal to b, is ab > 0?

If a and b are integers and a is not equal to b, is ab > 0?

(1) a^b > 0

(2) a^b is a non-zero integer

Is ? Question basically asks are and both positive or both negative.

(1) --> both and could be positive as well as could be positive and negative. Not sufficient.

(2) a^b is a non-zero integer --> if and answer would be NO but if and answer would be YES. Not sufficient.

(1)+(2) Example from (2) is still valid. Not sufficient.

Answer: E.