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exponents og cat - help

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

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New post 27 May 2009, 23:27
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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!
Intern
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Joined: 12 May 2009
Posts: 46
Location: Mumbai
Re: exponents og cat - help [#permalink]

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New post 28 May 2009, 00:22
Answer is 35

(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
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Joined: 16 Apr 2009
Posts: 230
Schools: Ross
Re: exponents og cat - help [#permalink]

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New post 28 May 2009, 07:47
(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
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Keep trying no matter how hard it seems, it will get easier.

Re: exponents og cat - help   [#permalink] 28 May 2009, 07:47
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