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

It is currently 25 Jul 2014, 03:46

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

Re: Weird Exponent Question

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Expert Post
2 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 18737
Followers: 3243

Kudos [?]: 22384 [2] , given: 2616

Re: Weird Exponent Question [#permalink] New post 01 Jun 2010, 16:07
2
This post received
KUDOS
Expert's post
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

100% (01:06) correct 0% (00:00) wrong based on 0 sessions
If exponentiation is indicated by stacked symbols, the rule is to work from the top down, thus:
a^m^n=a^{(m^n)} and not (a^m)^n, (by the way (a^m)^n=a^{mn}).

So 3^{3^3}=3^{(3^3)}=3^{27}

Cycle of 3 in power is 4. The units digit of 3^{27} is the same as for 3^3, which is 7 (27=4*6+3).

Check Number Theory chapter of the Math Book for more on this issue (link in my signature).

Hope it helps.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Manager
Manager
User avatar
Joined: 03 Feb 2010
Posts: 181
Concentration: Strategy
Schools: Northwestern (Kellogg) - Class of 2014
WE: Marketing (Computer Hardware)
Followers: 5

Kudos [?]: 25 [0], given: 34

GMAT Tests User
Re: Weird Exponent Question [#permalink] New post 04 Jun 2010, 12:00
Bunuel wrote:
If exponentiation is indicated by stacked symbols, the rule is to work from the top down, thus:
a^m^n=a^{(m^n)} and not (a^m)^n, (by the way (a^m)^n=a^{mn}).

So 3^{3^3}=3^{(3^3)}=3^{27}

Cycle of 3 in power is 4. The units digit of 3^{27} is the same as for 3^3, which is 7 (27=4*6+3).

Check Number Theory chapter of the Math Book for more on this issue (link in my signature).

Hope it helps.


I confused the stacked symbols, that is something I would have got wrong on a future question!
Re: Weird Exponent Question   [#permalink] 04 Jun 2010, 12:00
    Similar topics Author Replies Last post
Similar
Topics:
3 Weird question balkan 4 19 Dec 2012, 03:46
Weird Question - Recommender Relationship julianllee 3 19 Aug 2010, 12:45
Exponents Question ellisje22 6 18 Dec 2005, 16:32
Logic and weird questions in Interviews saurya_s 8 05 Oct 2005, 08:34
exponent question mike8c 4 26 Nov 2004, 20:04
Display posts from previous: Sort by

Re: Weird Exponent Question

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| 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®.