BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

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.

★★★★★5.0559 reviews
GMATLiveTeach 7 seats left
Chris Peckover
NEXT LIVE COHORT

Oct 13 to Jan 7, 2027

with Chris Peckover

Schedule
Tue, Thu · 8:00 to 10:00 PM ET
Included
40 live hours + 6 months of GMAT OnDemand
  • Live instruction and real-time questions
  • Class recordings and assigned practice
View class & enroll
Limited cohort · enrollment openTarget Test Prep
EALiveTeach 5 seats left
Logan Thompson
EXECUTIVE ASSESSMENT

Sep 6 to Dec 6, 2026

with Logan Thompson

Schedule
Sun · 9:30 AM to 12:30 PM ET
Included
Live EA class + 6 months of EA OnDemand
  • Expert-led weekly online sessions
  • EA Masterclass access between classes
View EA class & enroll
Limited cohort · enrollment openTarget Test Prep
GMATOnDemand Start anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

130-point score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions
Start free 5-day trial
Read 559 reviewsTarget Test Prep

Compare the format, schedule, and included access before enrolling. Prices and seat counts shown reflect the supplied offer details.

value of z^x - x^z?

Expert replies
Post new topic Post Reply
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
Log in to postLogin with Googleuse password
QUOTE IN REPLY
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
Log in to postLogin with Googleuse password
QUOTE IN REPLY
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
Log in to postLogin with Googleuse password
QUOTE IN REPLY
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
Log in to postLogin with Googleuse password
QUOTE IN REPLY
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
Log in to postLogin with Googleuse password
QUOTE IN REPLY
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
Log in to postLogin with Googleuse password
QUOTE IN REPLY
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
Log in to postLogin with Googleuse password
QUOTE IN REPLY
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
Log in to postLogin with Googleuse password
QUOTE IN REPLY
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
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 8177
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
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1