GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 19 Aug 2018, 10:58

### 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

# (R^c)(R^d)(R^e) = R^(-12). If R>0, and c, d, and e are each different

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 48033
(R^c)(R^d)(R^e) = R^(-12). If R>0, and c, d, and e are each different  [#permalink]

### Show Tags

05 Nov 2017, 01:21
00:00

Difficulty:

25% (medium)

Question Stats:

59% (00:42) correct 41% (00:33) wrong based on 75 sessions

### HideShow timer Statistics

$$(R^c)(R^d)(R^e) = R^{(-12)}$$. If R > 0, and c, d, and e are each different negative integers, what is the smallest that c could be?

A. -12
B. -10
C. -9
D. -6
E. -1

_________________
Math Expert
Joined: 02 Aug 2009
Posts: 6554
Re: (R^c)(R^d)(R^e) = R^(-12). If R>0, and c, d, and e are each different  [#permalink]

### Show Tags

05 Nov 2017, 01:36
Bunuel wrote:
$$(R^c)(R^d)(R^e) = R^{(-12)}$$. If R > 0, and c, d, and e are each different negative integers, what is the smallest that c could be?

A. -12
B. -10
C. -9
D. -6
E. -1

hi..

$$(R^c)(R^d)(R^e) = R^{(-12)}.............R^{c+d+e}=R^{(-12)}$$..
equating the powers
c+d+e=-12....
All three are different and negative integers
so for c to be smallest, d and e have to be MAX possible..
so let d = -1 and e=-2..
so $$c+d+e=-12.......c-1-2=-12.....c=-12+3=-9$$

C
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

Re: (R^c)(R^d)(R^e) = R^(-12). If R>0, and c, d, and e are each different &nbs [#permalink] 05 Nov 2017, 01:36
Display posts from previous: Sort by

# Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.