If a and b are nonzero integers, which of the following must : GMAT Problem Solving (PS)
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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]

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20 Jul 2013, 09:12
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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]

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20 Jul 2013, 09:34
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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]

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25 Aug 2014, 10:07
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Re: If a and b are nonzero integers, which of the following must [#permalink]

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20 Mar 2016, 09:32
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Re: If a and b are nonzero integers, which of the following must   [#permalink] 20 Mar 2016, 09:32
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# If a and b are nonzero integers, which of the following must

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