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# Power problem

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Manager
Joined: 09 Oct 2008
Posts: 93

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22 Oct 2008, 20:34
PFA

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Senior Manager
Joined: 04 Aug 2008
Posts: 363

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22 Oct 2008, 22:13
5^-m*2^(2*-18)=2^-1*2^-35*5^-35

5^-m*2^-36=5^-35*2^-36
m=35
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Senior Manager
Joined: 29 Mar 2008
Posts: 341

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22 Oct 2008, 22:24
Given: (1/5)^m (1/4)^18 = 1/{2(10)^35)}

=> (1/5)^m * (1/2)^36 = (1/2) * 1/(5*2)^35
=> (1/5)^m * (1/2)^36 = (1/5)^35 * (1/2)^36

hence, m=35
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VP
Joined: 30 Jun 2008
Posts: 1007

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23 Oct 2008, 04:21
another 35 agree with above explanations
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Retired Moderator
Joined: 18 Jul 2008
Posts: 902

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23 Oct 2008, 09:05
The answer to solving this is to know the distributive property of exponents. I agree with the above answers.

--== 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!

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Re: Power problem   [#permalink] 23 Oct 2008, 09:05
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# Power problem

Moderator: chetan2u

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