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1/ , then m=? TIA

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1/ , then m=? TIA [#permalink]

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New post 18 Apr 2007, 21:55
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

[(1/5)^m]*[(1/4)^18]= 1/[2(10^35)], then m=?

TIA

Last edited by ayl989 on 19 Apr 2007, 12:20, edited 2 times in total.
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New post 18 Apr 2007, 22:41
Hi,

I am not clear on what does "to the" mean

if X to the Y means x/y then the answer should be 35/19

on solving we will have

19*M/20 = 35/20 or M = 35/19....

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Amardeep
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New post 18 Apr 2007, 23:11
Try reposting your question. If you mean 2 to the power of y, then type 2^y.
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New post 19 Apr 2007, 10:07
sorry for the confusion, I've edited the question.
thanks again.
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Re: fractions with radicals [#permalink]

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New post 19 Apr 2007, 10:49
ayl989 wrote:
[(1/5)^m]*[(1/4)^19]= 1/[2(10^35)], then m=?

TIA


[(1/5)^m]*[(1/4)^19]= 1/[2(10^35)],

5^m * 4^19 =2*(5*2)^35

5^m * (2*2)^19 =2*(5*2)^35

5^m * 2^38 =2^36*5^35

5^m * 2^2 =5^35

4 * (5^m ) = 5^35

4 = 5^(35-m)
Dunno how to solve further :)
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New post 19 Apr 2007, 11:03
Hi Ay1989

What are the options?? are u still missing something?

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New post 19 Apr 2007, 12:21
whoops, edited the question and changed 19 to 18

also, answer choices are

17
18
34
35
36

so from your work, I see how the 2^36 cancels out and then m =35.
I always have problems with these, but it seems like radicals are all about factoring out the original problem and trying to isolate into similar expressions.
thanks again.
  [#permalink] 19 Apr 2007, 12:21
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