Find all School-related info fast with the new School-Specific MBA Forum

It is currently 27 Sep 2016, 17:22
GMAT Club Tests

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If z^n = 1, what is the value of z?

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

2 KUDOS received
Manager
Manager
avatar
Joined: 09 Sep 2004
Posts: 164
Followers: 1

Kudos [?]: 8 [2] , given: 0

If z^n = 1, what is the value of z? [#permalink]

Show Tags

New post 22 Nov 2004, 10:14
2
This post received
KUDOS
6
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

49% (01:51) correct 51% (00:48) wrong based on 297 sessions

HideShow timer Statistics

If z^n = 1, what is the value of z?

(1) n is a nonzero integer.
(2) z > 0

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-z-n-1-what-is-the-value-of-z-135081.html
[Reveal] Spoiler: OA
Director
Director
User avatar
Joined: 31 Aug 2004
Posts: 610
Followers: 3

Kudos [?]: 111 [0], given: 0

 [#permalink]

Show Tags

New post 22 Nov 2004, 10:47
z^n = 1

happens if z=1 whatever n value, OR if n=0 whatever z value

Statement 1 : n is a nonzero integer, so z= 1 enough

Statement 2 : z>0 could be z=1 or not so not enough

My choice is A
Senior Manager
Senior Manager
User avatar
Joined: 19 Oct 2004
Posts: 317
Location: Missouri, USA
Followers: 1

Kudos [?]: 70 [0], given: 0

 [#permalink]

Show Tags

New post 22 Nov 2004, 11:45
Ill go with E..

statement 1.. if n=1, z=1, of n=2, then z= +1 or -1. hence, insuff.

statement 2-- very much insuff. no doubt.

combining, Z^n=1, since n is not 0, there is no way of finding out Z ..
_________________

Let's get it right!!!!

2 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 19 May 2004
Posts: 291
Followers: 1

Kudos [?]: 14 [2] , given: 0

 [#permalink]

Show Tags

New post 22 Nov 2004, 13:26
2
This post received
KUDOS
I'll pick C here.

1) Z could be +1 or (-1) .. we don't know.

2) Z>0 so n=0 or z=1.

together, Z=1.
Director
Director
avatar
Joined: 03 Nov 2004
Posts: 865
Followers: 2

Kudos [?]: 50 [0], given: 0

 [#permalink]

Show Tags

New post 22 Nov 2004, 13:56
After reading this I have a fundamental question - since this question can be rewritten as z= 1^1/n, isn't z always 1
Manager
Manager
avatar
Joined: 09 Sep 2004
Posts: 164
Followers: 1

Kudos [?]: 8 [0], given: 0

 [#permalink]

Show Tags

New post 23 Nov 2004, 11:20
rthothad wrote:
After reading this I have a fundamental question - since this question can be rewritten as z= 1^1/n, isn't z always 1


rthothad - z can be 1 or -1 if n is even.

Yep the ans is C.
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 11704
Followers: 527

Kudos [?]: 145 [0], given: 0

Premium Member
Re: Z^n = 1, What is the value of Z? 1. n is a nonzero integer [#permalink]

Show Tags

New post 13 Sep 2013, 07:32
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 34871
Followers: 6491

Kudos [?]: 82845 [0], given: 10120

Re: If z^n = 1, what is the value of z? [#permalink]

Show Tags

New post 13 Sep 2013, 08:56
Expert's post
2
This post was
BOOKMARKED
If z^n = 1, what is the value of z?

(1) n is a non zero integer --> \(1^{any \ integer}=1\) and also \((-1)^{even}=1\), so \(z\) can be 1 or -1. Not sufficient.

(2) z > 0 --> any nonzero number to the power of 0 is 1, so if \(n=0\) then \(z\) can be any non-zero number (any positive number in our case as given that \(z>0\)). Not sufficient.

(1)+(2) \(n\) is a nonzero integer and \(z>0\) implies that \(z\) can equal to 1 only. Sufficient.

Answer: C.

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-z-n-1-what-is-the-value-of-z-135081.html
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 11704
Followers: 527

Kudos [?]: 145 [0], given: 0

Premium Member
Re: If z^n = 1, what is the value of z? [#permalink]

Show Tags

New post 09 Sep 2015, 06:50
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Expert Post
EMPOWERgmat Instructor
User avatar
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 7491
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Followers: 330

Kudos [?]: 2215 [0], given: 162

Re: If z^n = 1, what is the value of z? [#permalink]

Show Tags

New post 09 Sep 2015, 18:19
Hi All,

This exponent rule 'concept' is something of a classic in the realm of standardized testing - it serves as a relatively simple way to assess a Test Taker's 'thoroughness of understanding' on a specific concept:

Here, the concept is "using exponent rules, and one number raised to one exponent, how many different ways can you get to the number 1?"

The first ('obvious') answer is "1 raised to any power = 1"

eg. 1^2, 1^50, 1^(-3), etc.

There are OTHER possibilities though. If your base is -1, then any EVEN exponent will lead us to a total of 1...

eg. (-1)^2, (-1)^4, (-1)^(-2), etc.

Finally, raising any number to the '0 power' will also give us a total of 1...

eg. 1^0, 537^0, (-13)^0, etc.

When dealing with this specific situation, it's important to pay careful attention to the information that you're given. What do you really know about the 'base' and the 'power' involved? If you don't know anything, then you have to consider all of the above possibilities.

GMAT assassins aren't born, they're made,
Rich
_________________

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests

60-point improvement guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Re: If z^n = 1, what is the value of z?   [#permalink] 09 Sep 2015, 18:19
    Similar topics Author Replies Last post
Similar
Topics:
16 Experts publish their posts in the topic If z^n = 1, what is the value of z? dreamchase 14 27 Dec 2011, 09:38
6 If z^n=1, what is the value of z? Hyppo 5 12 Jun 2011, 14:07
1 Experts publish their posts in the topic If z^n = 1, what is the value of z? tradinggenius 5 24 Jan 2011, 08:02
10 Experts publish their posts in the topic If z1, z2, z3,..., zn is a series of consecutive positive swethar 9 02 Mar 2010, 09:23
12 Experts publish their posts in the topic If z1, z2, z3, ..., zn is a series of consecutive positive TheRob 12 19 Aug 2009, 07:35
Display posts from previous: Sort by

If z^n = 1, what is the value of z?

  post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

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®.