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Intern
Joined: 25 Aug 2008
Posts: 3
GMAT Prep Question [#permalink]

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25 Aug 2008, 12:55
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.

--== 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.
SVP
Joined: 07 Nov 2007
Posts: 1761
Location: New York
Re: GMAT Prep Question [#permalink]

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25 Aug 2008, 13:06
streetmny wrote:
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.

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

$$(1/4)^{18} = (1/2^2)^{18}=(1/2)^{36}$$

$$5^m= (1/4)^{18} * 2* (10^{35})) = =(1/2)^{36} *2 *10^{35} = (10/2)^{35}= 5^{35}$$
_________________

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Director
Joined: 23 May 2008
Posts: 757
Re: GMAT Prep Question [#permalink]

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25 Aug 2008, 18:02
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
Intern
Joined: 25 Aug 2008
Posts: 3
Re: GMAT Prep Question [#permalink]

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26 Aug 2008, 08:09
Thanks for the replies. These explanations were very helpful.

--== 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: GMAT Prep Question   [#permalink] 26 Aug 2008, 08:09
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