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Is a^n > b^n?

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Director
Director
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Joined: 28 Jul 2011
Posts: 566
Location: United States
Concentration: International Business, General Management
GPA: 3.86
WE: Accounting (Commercial Banking)
Followers: 2

Kudos [?]: 97 [0], given: 16

Is a^n > b^n? [#permalink] New post 14 Dec 2011, 02:38
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

50% (02:08) correct 50% (00:33) wrong based on 6 sessions
Is a^n > b^n?

(1) a > b
(2) n is any positive quantity
[Reveal] Spoiler: OA

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Intern
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Joined: 12 Oct 2011
Posts: 20
Location: United States
GMAT 1: 720 Q50 V36
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Kudos [?]: 19 [1] , given: 5

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Re: Is a^n > b^n? [#permalink] New post 14 Dec 2011, 03:26
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Quote:
I thought the answer is C, but the OA is E? How can it be,can anyone please explain?


lets say
a=2
b=1
n = 2
a^n = 4
b^n = 1
a^n>b^n

a = -1
b = -2
n = 2
a^n = 1
b^n = 4
here a^n < b^n


Do you see where you went wrong?
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Status: 2000 posts! I don't know whether I should feel great or sad about it! LOL
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Posts: 1720
Location: Peru
Schools: Harvard, Stanford, Wharton, MIT & HKS (Government)
WE 1: Economic research
WE 2: Banking
WE 3: Government: Foreign Trade and SMEs
Followers: 79

Kudos [?]: 485 [0], given: 109

Re: Is a^n > b^n? [#permalink] New post 14 Dec 2011, 10:39
+1 E

Don't forget to consider the case when a and b are both negative.
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Director
Director
avatar
Joined: 28 Jul 2011
Posts: 566
Location: United States
Concentration: International Business, General Management
GPA: 3.86
WE: Accounting (Commercial Banking)
Followers: 2

Kudos [?]: 97 [0], given: 16

Re: Is a^n > b^n? [#permalink] New post 15 Dec 2011, 17:39
Thanks a lot Guys got it..............
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Re: Is a^n > b^n?   [#permalink] 15 Dec 2011, 17:39
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