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# What is more 2^600 or 6^200

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SVP
Joined: 03 Feb 2003
Posts: 1607
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What is more 2^600 or 6^200 [#permalink]  30 May 2003, 02:17
00:00

Difficulty:

(N/A)

Question Stats:

50% (01:47) correct 50% (00:43) wrong based on 8 sessions
What is more 2^600 or 6^200?
Manager
Joined: 25 May 2003
Posts: 54
Followers: 1

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

3
KUDOS
2^600 is greater

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

6^200=6^(2*100)=36^100
SVP
Joined: 03 Feb 2003
Posts: 1607
Followers: 7

Kudos [?]: 86 [0], given: 0

skoper wrote:
2^600 is greater

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

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

Manager
Joined: 08 Apr 2003
Posts: 149
Followers: 1

Kudos [?]: 11 [0], given: 0

its comparison between

2^400 and 3^200

So the ealier one is greater...
Manager
Joined: 08 Apr 2003
Posts: 149
Followers: 1

Kudos [?]: 11 [0], given: 0

Hey skoper, that's a neat way... greatoo
Intern
Joined: 20 May 2009
Posts: 39
Followers: 0

Kudos [?]: 3 [0], given: 5

Re: 2^600 [#permalink]  26 Jul 2009, 13:34
2^600

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

500 < 600
SVP
Joined: 05 Jul 2006
Posts: 1516
Followers: 5

Kudos [?]: 126 [0], given: 39

Re: 2^600 [#permalink]  26 Jul 2009, 14:37
stolyar wrote:
What is more 2^600 or 6^200?

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
Director
Joined: 05 Jun 2009
Posts: 852
WE 1: 7years (Financial Services - Consultant, BA)
Followers: 9

Kudos [?]: 217 [1] , given: 106

Re: 2^600 [#permalink]  27 Jul 2009, 00:22
1
KUDOS
I think more easier comparison will be

2^600 = (2^3)^200 = 8^200 > 6^200
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Consider kudos for the good post ...
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Manager
Joined: 03 Jul 2009
Posts: 107
Location: Brazil
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Kudos [?]: 62 [0], given: 13

Re: 2^600 [#permalink]  28 Jul 2009, 13:07
Yes sudeep, in my opinion it is faster, +1
Re: 2^600   [#permalink] 28 Jul 2009, 13:07
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