36/ (x/6) = (1/36) / 36 6^(-5) 6^(-2) 6^4 6^7 6^8 : PS Archive
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# 36/ (x/6) = (1/36) / 36 6^(-5) 6^(-2) 6^4 6^7 6^8

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CEO
Joined: 21 Jan 2007
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36/ (x/6) = (1/36) / 36 6^(-5) 6^(-2) 6^4 6^7 6^8  [#permalink]

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16 Nov 2007, 10:24
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36/ (x/6) = (1/36) / 36

6^(-5)
6^(-2)
6^4
6^7
6^8

I got 1/6
Director
Joined: 09 Aug 2006
Posts: 763
Followers: 1

Kudos [?]: 189 [0], given: 0

Re: PS powers of 6 [#permalink]

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16 Nov 2007, 22:38
bmwhype2 wrote:
36/ (x/6) = (1/36) / 36

6^(-5)
6^(-2)
6^4
6^7
6^8

I got 1/6

D.

36/ (x/6) = (1/36) / 36
or 36*6/x = 1/(36.36)
or x = 36*6*36*36 = 6^2*6*6^2*6^2 = 6^7
CEO
Joined: 21 Jan 2007
Posts: 2756
Location: New York City
Followers: 11

Kudos [?]: 830 [0], given: 4

[#permalink]

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20 Nov 2007, 05:32
OA is D.
6^7

Here is the shortcut

cross multiply
6^2(6^2) = x / (6^3)
6^4 = x / (6^3)

cross multiply again
6^7=x
[#permalink] 20 Nov 2007, 05:32
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# 36/ (x/6) = (1/36) / 36 6^(-5) 6^(-2) 6^4 6^7 6^8

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