GMATPrep - Exponents

This topic has expert replies
Source: — Problem Solving |

User avatar
Community Manager
Posts: 1049
Joined: Sun Apr 06, 2008 5:15 pm
Location: Pittsburgh, PA
Thanked: 113 times
Followed by:27 members
GMAT Score:710

by dmateer25 » Sat May 30, 2009 4:49 am
(8^2)(3^3)(2^4)/96^2

First break all of the numbers down into primes.

8^2 = 2^6

96 = 2^5 * 3

96^2 = 2^10 * 3^2


so now that everything is broken down into prime numbers we have

(2^10)(3^3)/(2^10)(3^2)

Now it is easy to see that the answer is 3.

Newbie | Next Rank: 10 Posts
Posts: 4
Joined: Tue Apr 14, 2009 8:29 am

Thanks!

by njbdrexel » Sat May 30, 2009 5:35 am
Thank you! I assume the 2^10 cancel out as well as 3^2 leaving 3?
NJB

User avatar
Community Manager
Posts: 1049
Joined: Sun Apr 06, 2008 5:15 pm
Location: Pittsburgh, PA
Thanked: 113 times
Followed by:27 members
GMAT Score:710

Re: Thanks!

by dmateer25 » Sat May 30, 2009 6:50 am
njbdrexel wrote:Thank you! I assume the 2^10 cancel out as well as 3^2 leaving 3?
NJB
Yes, that is correct