If a and b are nonzero integers, which of the following must be negative?

Correct answer marked below

(−a)^{−2b}

(−a)^{−3b}

−(a^{−2b})

Correct

−(a^{−3b})

None of these

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What this question tests

Your command of divisibility, primes, factors, parity, and how the GMAT tests properties of integers.

Forgetting that 1 is not prime, that 0 is divisible by every integer, or that negative numbers flip your assumptions.