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# What is m?

Author Message
Intern
Joined: 17 Feb 2008
Posts: 28

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26 Feb 2009, 19:55
If (1/5)^m x (1/4)^18 = 1/2(10)^35, then m=?

17
18
34
35
36
-----------------------------------------
How do we calculate this?

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Senior Manager
Joined: 08 Jan 2009
Posts: 317

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26 Feb 2009, 23:47
1/( 5^m * 2 ^36) = 1/2 * 1/( 2 * 5) 35

So i can write the RHS = 1/ (2^36 * 5 ^35)

comparing LHS and RHS m= 35.
Director
Joined: 04 Jan 2008
Posts: 860

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27 Feb 2009, 00:58
Its a typical Q in the 1-6 range(i call it warming up session)

just see the denominator on both sides
LHS has (5^m) (2^36)
RHS has (5^35)(2^36)
equating
we get m=35

be very careful, not to do silly mistake in Q1-10 range
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Intern
Joined: 23 Feb 2009
Posts: 6

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27 Feb 2009, 09:29
PLS explain to me..
i guess that... (look at attached picture)

and if so..than
>LHS has (5^m) (2^36) ... in denominator
>RHS has (5^35)(2^34) ... in numerator

?????
Attachments

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Intern
Joined: 17 Feb 2008
Posts: 28

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27 Feb 2009, 12:55
Thanks guys, cant believe it was that simple. The key lay in breaking the components down.

Cheers,
JF
Current Student
Joined: 03 Aug 2006
Posts: 112

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27 Feb 2009, 13:11
PLS explain to me..
i guess that... (look at attached picture)

and if so..than
>LHS has (5^m) (2^36) ... in denominator
>RHS has (5^35)(2^34) ... in numerator

?????

In your image, the second (bottom) equation is the right one and not the one on the top. If you expand it then you should get the right answer.

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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: What is m?   [#permalink] 27 Feb 2009, 13:11
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# What is m?

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