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What is more 2^600 or 6^200

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SVP
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What is more 2^600 or 6^200 [#permalink]

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New post 30 May 2003, 02:17
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What is more 2^600 or 6^200? :stupid2

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Manager
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 [#permalink]

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New post 30 May 2003, 02:23
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2^600 is greater :wink:

2^600=2^(6*100)=64^100

6^200=6^(2*100)=36^100

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 [#permalink]

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New post 30 May 2003, 02:27
skoper wrote:
2^600 is greater :wink:

2^600=2^(6*100)=64^100

6^200=6^(2*100)=36^100


:yes

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 [#permalink]

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New post 30 May 2003, 02:28
its comparison between

2^400 and 3^200

So the ealier one is greater...

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 [#permalink]

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New post 30 May 2003, 02:29
Hey skoper, that's a neat way... greatoo :cool

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Intern
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Re: 2^600 [#permalink]

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New post 26 Jul 2009, 13:34
2^600

6 = roughly 2^2.5
so 2.5 * 200 = 500

500 < 600

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Re: 2^600 [#permalink]

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New post 26 Jul 2009, 14:37
stolyar wrote:
What is more 2^600 or 6^200? :stupid2


2^600 as compared to 2^200*3^200

compare

2^400,3^200,

(2^4)^100 to (3^2)^100

16^100 to 9^100 surely 16^100 is bigger

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Director
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Re: 2^600 [#permalink]

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New post 27 Jul 2009, 00:22
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I think more easier comparison will be

2^600 = (2^3)^200 = 8^200 > 6^200
_________________

Consider kudos for the good post ... :beer
My debrief : http://gmatclub.com/forum/journey-670-to-720-q50-v36-long-85083.html

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Re: 2^600 [#permalink]

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New post 28 Jul 2009, 13:07
Yes sudeep, in my opinion it is faster, +1

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Re: 2^600   [#permalink] 28 Jul 2009, 13:07
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What is more 2^600 or 6^200

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