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GMAT PREP Question Number 1 PROBLEM SOLVING HELP!!

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by jay1221 » Mon Aug 11, 2008 6:42 am
Hey guys. Heres a question from the Gmat Prep. It was the first question on the test. I dont know what is throwing me off. I feel stupid, but here it is

(1/5)^m * (1/4)^18= 1/2(10)^35

If any one can shed some light on this id really appreciate it. Its probably veyr easy and im just missing the point

Thanks!
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Source: — Problem Solving |

by santa_dem » Mon Aug 11, 2008 6:48 am
What is the question, what are the options?
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by sudhir3127 » Mon Aug 11, 2008 6:49 am
the equation can be wriiten as

5^m*4^18 = 2* 10^35

5^m*2^35*2 =2*2^35*5^35.
thus m= 35..


hope it helps..
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by jay1221 » Mon Aug 11, 2008 10:45 am
The problem states Find M
Answer choices are
A. 18
B. 17
C. 35
D. 10
E. 53
THanks Suhdir.
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I was hoping for a more stratagy approached answer. I dont understand how we can conclude that 4^18 +2^36*.
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by santa_dem » Tue Aug 12, 2008 6:08 am
4=2^2, agree?

(x^y)^z=x^(y*z) agree?

therefore

4^18=(2^2)^18=2^(2*18)=2^36=2*2^35
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