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# M and N

Author Message
Manager
Joined: 25 May 2009
Posts: 140
Concentration: Finance
GMAT Date: 12-16-2011

### Show Tags

09 Jul 2009, 19:38
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

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If m and n are non-zero numbers and $$3^m*3^m*3^m=9^n$$, then m/n =
1/3
2/3
1
3/2
3

OA=B

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Manager
Joined: 28 Jan 2004
Posts: 199
Location: India

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10 Jul 2009, 00:56
B.

$$3^m*3^m*3^m = 3^(3m)$$
= $$9^(3m/2)$$
or
3^m*3^m*3^m = 3^3m = 9^3m/2
this means 3m/2 = n
or n/m = 2/3
Senior Manager
Joined: 25 Mar 2009
Posts: 290

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10 Jul 2009, 11:43
3^m*3^m*3^m = 9^n

3^(3m) = (3^2)^n
3^(3m) = 3^(2n)
3m = 2n
m/n = 2/3

B

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: M and N   [#permalink] 10 Jul 2009, 11:43
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