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

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If a and b are nonzero integers, which of the following must [#permalink] New post 20 Jul 2013, 09:12
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A
B
C
D
E

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64% (01:41) correct 35% (00:45) wrong based on 45 sessions
If a and b are nonzero integers, which of the following must be negative?

A. (-a)^{-2b}
B. (-a)^{-3b}
C. -(a^{-2b})
D. -(a^{-3b})
E. None of these
[Reveal] Spoiler: OA

Last edited by kingflo on 20 Jul 2013, 09:37, edited 2 times in total.
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Re: If a and b are nonzero integers, which of the following must [#permalink] New post 20 Jul 2013, 09:34
Expert's post
If a and b are nonzero integers, which of the following must be negative?

A. (-a)^{-2b}=\frac{1}{(-a)^{2b}}=positive.

B. (-a)^{-3b} --> may be positive (consider a=1 and b=2) as well as negative (consider a=1 and b=1).

C. -(a^{-2b})=-\frac{1}{a^{2b}}=-\frac{1}{positive}=negative

D. -(a^{-3b}) --> may be positive (consider a=-1 and b=1) as well as negative (consider a=1 and b=1).

E. None of these

Answer: C.
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Re: If a and b are nonzero integers, which of the following must   [#permalink] 20 Jul 2013, 09:34
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If a and b are nonzero integers, which of the following must

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