• Board contributors include instructors with "800" GMAT scores.
  • 95% of posts have replies within 24 hours.
  • Join for discounts with 800score, VeritasPrep and ManhattanGMAT


FAQ  - Register  - Search - Login 

All times are UTC - 7 hours




Post new topic Reply to topic  [ 2 posts ] 
Author Message
 Post subject: Exponent Question
PostPosted: Mon May 04, 2009 1:22 pm 
Offline

Joined: Mon May 04, 2009 1:20 pm
Posts: 1
I came across this....its driving me a little nuts...

Which of the following is equal to the value of:
2^5 + 2^5 + 3^5 + 3^5 + 3^5

answer: 2^6 +3^6

~Lisa


Top
 Profile  
 
 Post subject: Re: Exponent Question
PostPosted: Mon May 04, 2009 1:26 pm 
Offline
User avatar

Joined: Mon Apr 06, 2009 5:44 pm
Posts: 81
Hey Lisa,

2^5 + 2^5 + 3^5 + 3^5 + 3^5

Lets first group our like terms: (2^5 + 2^5) + (3^5 + 3^5 + 3^5). Next, we realize that we can further reduce the expression: 2(2^5) + 3(3^5). Now, the exponent rules tell us that when we have (a^x)(a^y) = a^(x+y). Lets use the latter: 2^(1+5) + 3^(1+5) = 2^6 + 3^6, which gives you the desired result.

Thanks for the question,
Steve


Top
 Profile  
 
Display posts from previous:  Sort by  
Post new topic Reply to topic  [ 2 posts ] 

All times are UTC - 7 hours


Who is online

Users browsing this forum: No registered users and 8 guests


You cannot post new topics in this forum
You cannot reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot post attachments in this forum

Search for:
Jump to:  
cron
Powered by phpBB © 2000, 2002, 2005, 2007 phpBB Group
Template made by DEVPPL -
phpBB SEO
 
GMAT(TM) and GMAT CAT (TM) are registered trademarks of the Graduate Management Admission Council(TM). The Graduate Management Admission Council(TM) does not endorse, nor is affiliated in any way with the owner or any content of this site.