Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 25 May 2017, 22:46

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

### Hide Tags

Intern
Joined: 26 Jun 2012
Posts: 24
Location: Germany
GMAT 1: 570 Q31 V39
GMAT 2: 710 Q43 V44
Followers: 1

Kudos [?]: 106 [0], given: 1

If a and b are nonzero integers, which of the following must [#permalink]

### Show Tags

20 Jul 2013, 10:12
8
This post was
BOOKMARKED
00:00

Difficulty:

35% (medium)

Question Stats:

58% (01:53) correct 42% (00:54) wrong based on 284 sessions

### HideShow timer Statistics

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, 10:37, edited 2 times in total.
Math Expert
Joined: 02 Sep 2009
Posts: 38890
Followers: 7735

Kudos [?]: 106170 [1] , given: 11607

Re: If a and b are nonzero integers, which of the following must [#permalink]

### Show Tags

20 Jul 2013, 10:34
1
KUDOS
Expert's post
4
This post was
BOOKMARKED
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

_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15455
Followers: 649

Kudos [?]: 209 [0], given: 0

Re: If a and b are nonzero integers, which of the following must [#permalink]

### Show Tags

25 Aug 2014, 11:07
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15455
Followers: 649

Kudos [?]: 209 [0], given: 0

Re: If a and b are nonzero integers, which of the following must [#permalink]

### Show Tags

20 Mar 2016, 10:32
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15455
Followers: 649

Kudos [?]: 209 [0], given: 0

Re: If a and b are nonzero integers, which of the following must [#permalink]

### Show Tags

04 Apr 2017, 00:01
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: If a and b are nonzero integers, which of the following must   [#permalink] 04 Apr 2017, 00:01
Similar topics Replies Last post
Similar
Topics:
4 If a and b are integers and ab − a is odd, which of the following must 7 15 May 2017, 17:25
1 If both a and b are nonzero integers, which of the following must be p 1 12 Apr 2017, 14:34
If a, b, and c are nonzero integers, which of the following must be an 2 10 Apr 2017, 13:05
1 If a and b are odd integers, which of the following must be an even in 2 13 Dec 2015, 11:25
17 If -|x+1| = b, where b is a non-zero integer, which of the following s 10 07 Nov 2016, 02:53
Display posts from previous: Sort by