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 Post subject: Fraction/Exponent Q
 Post Posted: Mon Jun 20, 2011 10:18 pm 
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Course Students


Posts: 2
(1/5)^m (1/4)^18 = 1/2(10)^35...

in essence figure out what m is...

-17
-18
-34
-35
-36

Hell of a way to start a practice test... I guessed (wrong). Afterward, I saw the right answer, but can't rationalize what was provided. Clearly, I'm missing some basic rule that will relieve my confusion. Any guidance?


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 Post subject: Re: Fraction/Exponent Q
 Post Posted: Mon Jun 20, 2011 11:51 pm 
Offline
Students


Posts: 9
dtloxy wrote:
(1/5)^m (1/4)^18 = 1/2(10)^35...

in essence figure out what m is...

-17
-18
-34
-35
-36

Hell of a way to start a practice test... I guessed (wrong). Afterward, I saw the right answer, but can't rationalize what was provided. Clearly, I'm missing some basic rule that will relieve my confusion. Any guidance?


for such problems ,try to bring the numbers into their prime factors in both the sides of equality and then equate the exponents of respective prime factors to get the unknown value(e.g. m).

in this instance,
1/(5^m . 2^36)=1/(2^36 . 5^35)

comparing the exponents of 5, we get m=35

hope it hepls


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 Post subject: Re: Fraction/Exponent Q
 Post Posted: Tue Jun 21, 2011 7:49 pm 
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Course Students


Posts: 2
Yes, Satyaking, that does help a lot, and I'm slapping my forehead. Thank you very much.


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 Post subject: Re: Fraction/Exponent Q
 Post Posted: Wed Jun 29, 2011 6:01 am 
Offline
ManhattanGMAT Staff


Posts: 7146
please search the forum

gmat-prep-1-5-m-1-4-18-1-2-10-35-t1976.html


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