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What is m?

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Intern
Intern
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Joined: 17 Feb 2008
Posts: 28

Kudos [?]: 19 [0], given: 5

What is m? [#permalink]

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New post 26 Feb 2009, 19:55
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If (1/5)^m x (1/4)^18 = 1/2(10)^35, then m=?

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

Kudos [?]: 19 [0], given: 5

Senior Manager
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Joined: 08 Jan 2009
Posts: 326

Kudos [?]: 175 [0], given: 5

Re: What is m? [#permalink]

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New post 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.

Kudos [?]: 175 [0], given: 5

Director
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Joined: 04 Jan 2008
Posts: 896

Kudos [?]: 734 [0], given: 17

Re: What is m? [#permalink]

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New post 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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Kudos [?]: 734 [0], given: 17

Intern
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Joined: 23 Feb 2009
Posts: 6

Kudos [?]: [0], given: 0

Re: What is m? [#permalink]

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New post 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

1.gif
1.gif [ 10.09 KiB | Viewed 877 times ]

Kudos [?]: [0], given: 0

Intern
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Joined: 17 Feb 2008
Posts: 28

Kudos [?]: 19 [0], given: 5

Re: What is m? [#permalink]

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

Cheers,
JF

Kudos [?]: 19 [0], given: 5

Current Student
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Joined: 03 Aug 2006
Posts: 115

Kudos [?]: 294 [0], given: 3

Location: Next to Google
Schools: Haas School of Business
Re: What is m? [#permalink]

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New post 27 Feb 2009, 13:11
JillAdrB wrote:
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.

Kudos [?]: 294 [0], given: 3

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

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