If \(a\) and \(b\) are nonzero integers, is \(a^b\) an integer?

[M7MBA]

If \(a\) and \(b\) are nonzero integers, is \(a^b\) an integer?

(1) \(b^a\) is negative.
(2) \(a^b\) is negative.

Answer: E

Source: Veritas Prep