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

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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