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

It is currently 21 Oct 2014, 12:45

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

What is the last digit 3^{3^3} ? * 1 * 3 * 6 * 7 * 9

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Senior Manager
Senior Manager
avatar
Joined: 05 Oct 2008
Posts: 273
Followers: 3

Kudos [?]: 56 [0], given: 22

What is the last digit 3^{3^3} ? * 1 * 3 * 6 * 7 * 9 [#permalink] New post 18 Oct 2008, 23:44
1
This post was
BOOKMARKED
What is the last digit 3^{3^3} ?


* 1
* 3
* 6
* 7
* 9
VP
VP
avatar
Joined: 17 Jun 2008
Posts: 1406
Followers: 7

Kudos [?]: 121 [0], given: 0

Re: Exponents [#permalink] New post 18 Oct 2008, 23:50
study wrote:
What is the last digit 3^{3^3} ?


* 1
* 3
* 6
* 7
* 9

3^1=3
3^2=9
3^3=27
3^4=81
3^5=*3
3^6=*9

this pattern repeats every 4 times !!!hence here 3^27 => at 3 ^24 we get 1 as ;last digit ,hence at 27 we get 7 as last digit

IMO D
_________________

cheers
Its Now Or Never

Senior Manager
Senior Manager
avatar
Joined: 05 Oct 2008
Posts: 273
Followers: 3

Kudos [?]: 56 [0], given: 22

Re: Exponents [#permalink] New post 19 Oct 2008, 00:02
isn't 3^{3^3} equal to 3^3^3
meaning 27^3
then 27*27*27 gives 3 as the last digit..

can someone reinterpret 3^{3^3}
SVP
SVP
User avatar
Joined: 05 Jul 2006
Posts: 1541
Followers: 5

Kudos [?]: 83 [0], given: 39

Re: Exponents [#permalink] New post 19 Oct 2008, 09:33
study wrote:
What is the last digit 3^{3^3} ?


* 1
* 3
* 6
* 7
* 9


3^27 =

3^0 = 1

3^1 =3
3^2 = 9

3^3 = 27

3^4 = 81

27/4 = 24 and 3 is the remainder , then we have this units digit sequence (1,3,9)

9 IS THE UNIT'S DIGIT TO ME
VP
VP
User avatar
Joined: 30 Jun 2008
Posts: 1048
Followers: 11

Kudos [?]: 291 [0], given: 1

Re: Exponents [#permalink] New post 19 Oct 2008, 09:46
study wrote:
What is the last digit 3^{3^3} ?


* 1
* 3
* 6
* 7
* 9


check this link -----> post521003.html#p521003
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Check out my GMAT blog - GMAT Tips and Strategies

Re: Exponents   [#permalink] 19 Oct 2008, 09:46
    Similar topics Author Replies Last post
Similar
Topics:
Experts publish their posts in the topic What is the units digit of 6^15 - 7^4 - 9^3? carcass 0 22 May 2012, 03:36
the last digit of 3^3^3 flyingbunny 3 18 Aug 2009, 08:00
97 Experts publish their posts in the topic What is the last digit 3^{3^3} ? A. 1 B. 3 C. 6 D. 7 E. 9 elmagnifico 69 23 Sep 2008, 06:17
Find is the last digit of 3^(3^3) ? A) 1 B) 7 C) 6 D) 3 E) 5 briozeal 8 12 Nov 2005, 10:48
Display posts from previous: Sort by

What is the last digit 3^{3^3} ? * 1 * 3 * 6 * 7 * 9

  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®.