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25 Aug 2008, 12:55
Kudos
Bookmarks
Hi fellow GMAT Clubbers,
Yesterday, I took a GMATPrep Test and the first question that I saw on the quant section is the following:
(1/5)^m * (1/4)^18 = 1/2(10)^35, what is the value of m?
A. 17 - My answer
B. 18
C. 34
D. 35 - Correct Answer
E. 36
I have tried to re-work this problem numerous times and I still don not understand why 35 is the answer. Not knowing how to work this problem is driving me crazy. Can someone please explain to me why the answer is 35 or Choice D.
Also,
Is it just me or am I the only one that find this problem difficult. Look forward to hearing some feedback on this problem.
Thanks.
Yesterday, I took a GMATPrep Test and the first question that I saw on the quant section is the following:
(1/5)^m * (1/4)^18 = 1/2(10)^35, what is the value of m?
A. 17 - My answer
B. 18
C. 34
D. 35 - Correct Answer
E. 36
I have tried to re-work this problem numerous times and I still don not understand why 35 is the answer. Not knowing how to work this problem is driving me crazy. Can someone please explain to me why the answer is 35 or Choice D.
Also,
Is it just me or am I the only one that find this problem difficult. Look forward to hearing some feedback on this problem.
Thanks.
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25 Aug 2008, 13:06
Kudos
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streetmny
\((1/5)^m * (1/4)^{18} = 1/2(10)^{35}\)
\((1/4)^{18} = (1/2^2)^{18}=(1/2)^{36}\)
\(5^m= (1/4)^{18} * 2* (10^{35})) = =(1/2)^{36} *2 *10^{35} = (10/2)^{35}= 5^{35}\)
25 Aug 2008, 18:02
Kudos
Bookmarks
I took GMATprep I last night too and got that question wrong. I have since figured it out
(1/5)^m * (1/4)^18 = 1/2(10)^35
(1/5)^m * (1/2^2)^18 = 1/2(10)^35
(1/5)^m * (1/2^36) = 1/2(10)^35
(1/5)^m = 1/2(10)^35 * 2^36/1 = 2^36/2(10)^36 = 2^35/10^35 = 1/5^35
so
1/5^m = 1/5^35
m=35
(1/5)^m * (1/4)^18 = 1/2(10)^35
(1/5)^m * (1/2^2)^18 = 1/2(10)^35
(1/5)^m * (1/2^36) = 1/2(10)^35
(1/5)^m = 1/2(10)^35 * 2^36/1 = 2^36/2(10)^36 = 2^35/10^35 = 1/5^35
so
1/5^m = 1/5^35
m=35
