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# exponents og cat - help

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Intern
Joined: 19 Mar 2008
Posts: 14
exponents og cat - help  [#permalink]

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28 May 2009, 00:27
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(1/5)^m x (1/4)^18 = 1/(2(10)^35
solve for m, m=?

I need to see the work.. Thanks in advance!

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Intern
Joined: 12 May 2009
Posts: 45
Location: Mumbai
Re: exponents og cat - help  [#permalink]

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28 May 2009, 01:22

(1/4^18)*(1/5^M) = (1/2*10^35)
=> 1/ ((4^18)*(5^M)) = 1/(2*10^35)
=> 4^18 * 5^M = 2 * 2^35 * 5^35
=> 2^36 * 5^M = 2^36 * 5^35

So derived M = 35

You can also check the same PS in Link: gmat-prep-question-78859.html

Also, while placing the questions, please get the brackets properly.
Manager
Joined: 16 Apr 2009
Posts: 209
Schools: Ross
Re: exponents og cat - help  [#permalink]

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28 May 2009, 08:47
(1/4)^18 *(1/5)^m =(1/2*10^35)

1/(2*5^35 * 2^35)=1/(2^35+1*5^35)=1/(2^36 * 5^35)= 1/(4^18 * 5^35)
==>m=35

--== 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.

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Re: exponents og cat - help &nbs [#permalink] 28 May 2009, 08:47
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