Live GMAT classes with Target Test Prep start Nov 21 and Nov 22. First class free.

See classes
Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

Newsweek Readers’ Choice Awards 2026 winner: Target Test Prep, #1 Test Prep

Target Test Prep was voted #1 Best Test Prep in the 2026 Newsweek Readers’ Choice™ Awards.

★★★★★5.0563 reviews
GMATLiveTeachStarts Nov 22
Josh Braslow, Target Test Prep GMAT expert
LIVE ONLINE CLASSES

Get Ready for GMAT Test Day Faster with Live Online Classes

with Josh Braslow, 20+ years in test prep

Nov 22 · Josh Braslow
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes + 6 months of TTP OnDemand
  • Attend the first class for free
  • Every class is recorded, so you never fall behind
View classes & enroll
Limited seats availableTarget Test Prep
EALiveTeachOnDemandStart anytime
EXECUTIVE ASSESSMENT

Target Test Prep EA OnDemand

Self-paced EA prep. Study on your schedule.

EXECUTIVE ASSESSMENT

with

165+ EA score guarantee
$05-day trial no automatic billing
Schedule
Included
40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.
  • 165+ EA Score Guarantee
  • 4,100+ Quant, Verbal, and Integrated Reasoning practice questions
  • 400+ hours of in-depth video lessons
  • 3,000+ step-by-step video solutions
View EA class & enroll Start free 5-day trial
Limited cohort · enrollment openTrial includes full course accessTarget Test Prep
GMATOnDemandStart anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions
Start free 5-day trial
Read 563 reviewsTarget Test Prep

value of z^x - x^z?

Expert replies
Post new topic Post Reply
Subscribe topic
Previous Topic Next Topic
Legendary Member
Posts: 2326
Joined: Mon Jul 28, 2008 3:54 amFollowed by: 2 members
Thanked: 173 times
GMAT Score:710
by gmatmachoman » Fri Mar 26, 2010 1:08 am
If x is a positive integer and z is a non-negative integer such that (2,066)z is a divisor of 3,176,793, what is the value of z^x - x^z?
A) -81
B) -1
C) 0
D) 1
E) It Cannot Be Determined
Top
Join the discussion
Source: — Problem Solving |
User avatar
Master | Next Rank: 500 Posts
Posts: 208
Joined: Sun Sep 28, 2008 12:30 pm
Thanked: 22 times

by neoreaves » Fri Mar 26, 2010 2:02 am
What is the source of this ? The question stem is incorrect .


If we divide 3,176,793 by 2066 we will never get an integer ....look at the unit digit ..it is 6 and no digit multiplied with 6 will result in a 3. So z is either a fraction or a zero.

If z = 0 then it 2066z can not be a divisor because 0 is not a divisor of any numbers (1 is ) .


So the stem doesn't make any sense.
Top
Join the discussion
Legendary Member
Posts: 809
Joined: Wed Mar 24, 2010 10:10 pmFollowed by: 4 members
Thanked: 50 times

by akhpad » Sun Mar 28, 2010 9:21 am
problem:

If x is a positive integer and z is a non-negative integer such that (2,066)^z is a divisor of 3,176,793, what is the value of z^x - x^z?

Solution:

Since, 2,066 is not a divisor of 3,176,793

put z = 0 and we got it
0^x - x^0 = 0-1 = 1

Ans B
Top
Join the discussion
Legendary Member
Posts: 809
Joined: Wed Mar 24, 2010 10:10 pmFollowed by: 4 members
Thanked: 50 times

by akhpad » Sun Mar 28, 2010 9:23 am
problem:

If x is a positive integer and z is a non-negative integer such that (2,066)^z is a divisor of 3,176,793, what is the value of z^x - x^z?

Solution:

Since, 2,066 is not a divisor of 3,176,793

put z = 0 and we got it
0^x - x^0 = 0-1 = -1 (It was a typo in previous post)

Ans B
Top
Join the discussion
Junior | Next Rank: 30 Posts
Posts: 11
Joined: Thu Dec 24, 2009 7:55 am
GMAT Score:740

by superdesi2100 » Sun Mar 28, 2010 9:29 am
The problems says (2,066)z is a divisor of 3,176,793. If z=0 then 3,176,793/ (2,066)z will be undefined. I believe the problem does not make any sense.
Top
Join the discussion
Legendary Member
Posts: 809
Joined: Wed Mar 24, 2010 10:10 pmFollowed by: 4 members
Thanked: 50 times

by akhpad » Sun Mar 28, 2010 9:32 am
It was posted wrongly by the initiator. So, I corrected it.
Top
Join the discussion
Legendary Member
Posts: 809
Joined: Wed Mar 24, 2010 10:10 pmFollowed by: 4 members
Thanked: 50 times

by akhpad » Sun Mar 28, 2010 9:35 am
It was posted wrongly by the initiator. So, I corrected it.
Top
Join the discussion
User avatar
Master | Next Rank: 500 Posts
Posts: 435
Joined: Mon Mar 15, 2010 6:15 amFollowed by: 1 member
Thanked: 32 times

by eaakbari » Sun Mar 28, 2010 10:11 am
If the question is what akhp says then answer is B
Nice question
Top
Join the discussion
Legendary Member
Posts: 2326
Joined: Mon Jul 28, 2008 3:54 amFollowed by: 2 members
Thanked: 173 times
GMAT Score:710

by gmatmachoman » Sun Mar 28, 2010 10:49 am
akhp77 wrote:It was posted wrongly by the initiator. So, I corrected it.
Kindly accept my apologies...

@akhp.Thx for the correction!

OA: B
Top
Join the discussion

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 8246
Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members
Location: Los Angeles, CA
Thanked: 43 times

Re: value of z^x - x^z?

by Scott@TargetTestPrep » Sat Feb 08, 2020 7:09 pm
gmatmachoman wrote: ↑
Fri Mar 26, 2010 1:08 am
 If x is a positive integer and z is a non-negative integer such that (2,066)z is a divisor of 3,176,793, what is the value of z^x - x^z?
A) -81
B) -1
C) 0
D) 1
E) It Cannot Be Determined
Since 2,066 is even and 3,176,793 is odd, we see that the only possible value for z is 0.

Thus, 0^x = 0 and x^0 = 1, so 0 - 1 = -1.

Answer: B

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage
Top
Join the discussion