Last visit was: 15 Dec 2024, 01:51 It is currently 15 Dec 2024, 01:51
Home
GMAT
Messages
Tests
Schools
Reviews
Social
Chat
My Profile
Close
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
Your Progress

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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 14 Dec 2024
Posts: 97,878
Own Kudos:
685,955
 []
Given Kudos: 88,272
Products:
GMAT Club Tests Forum Quiz
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 97,878
Kudos: 685,955
 []
(A^x)(A^y)(A^z) = A^(-21). If A > 0, and x, y and z are each different 21 May 2017, 09:34
Kudos
Add Kudos
3
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

35% (medium)

Question Stats:

60% (01:08) correct 40% (01:16) wrong based on 129 sessions

History

Date
Time
Result
Not Attempted Yet
\((A^x)(A^y)(A^z) = A^{(-21)}\). If A > 0, and x, y and z are each different negative integers, what is the smallest that x could be?

A. -21
B. -19
C. -18
D. -11
E. -1
ShowHide Answer
Official Answer
C
User avatar
sashiim20
User avatar
Joined: 04 Dec 2015
Last visit: 05 Jun 2024
Posts: 620
Own Kudos:
1,683
 []
Given Kudos: 276
Location: India
Concentration: Technology, Strategy
Schools: ISB '19 IIMB IIMA XLRI HEC Sept19 intake Rotman '21 NUS '21 NTU '20 Trinity MBA '20 Bocconi '21 Smurfit "21
WE:Information Technology (Consulting)
Schools: ISB '19 IIMB IIMA XLRI HEC Sept19 intake Rotman '21 NUS '21 NTU '20 Trinity MBA '20 Bocconi '21 Smurfit "21
Posts: 620
Kudos: 1,683
 []
(A^x)(A^y)(A^z) = A^(-21). If A > 0, and x, y and z are each different 21 May 2017, 09:48
Kudos
Add Kudos
3
Bookmarks
Bookmark this Post
Bunuel
\((A^x)(A^y)(A^z) = A^{(-21)}\). If A > 0, and x, y and z are each different negative integers, what is the smallest that x could be?

A. -21
B. -19
C. -18
D. -11
E. -1

\((A^x)(A^y)(A^z) = A^{(-21)}\)

\(A^{(x+y+z)} = A^{(-21)}\)

x+y+z = -21

x, y and z are each different negative integers. Therefore, x,y,z could be (-18,-1,-2)

x+y+z = (-18) + (-1) + (-2) = -18-1-2 = -21

Therefore Smallest value of x could be -18
Answer C...

_________________
Kindly press "+1 Kudos" to appreciate :)
avatar
rausan
avatar
Joined: 15 Feb 2017
Last visit: 17 Sep 2022
Posts: 9
Own Kudos:
3
Given Kudos: 25
Posts: 9
Kudos: 3
(A^x)(A^y)(A^z) = A^(-21). If A > 0, and x, y and z are each different 21 May 2017, 10:44
Kudos
Add Kudos
Bookmarks
Bookmark this Post
X+Y+z=-21,
Minimum x
So take y & z maximum
Y=-1, z=-2
X= -21+3=-18
Option C

Sent from my vivo 1601 using GMAT Club Forum mobile app
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 35,822
Own Kudos:
930
Posts: 35,822
Kudos: 930
(A^x)(A^y)(A^z) = A^(-21). If A > 0, and x, y and z are each different 09 May 2022, 12:02
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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.
Moderator:
Bunuel
Math Expert
97877 posts