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If m, n, and m^n are nonzero integers, which of the

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Manager
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Joined: 10 Feb 2011
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If m, n, and m^n are nonzero integers, which of the [#permalink] New post 18 Feb 2011, 10:33
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20% (00:00) correct 80% (01:16) wrong based on 5 sessions
195. If m, n, and m^n are nonzero integers, which of the following must be true?
I. m^n is positive
II. n^m is an integer
III. m^n is an integer
(A) None
(B) I only
(C) II only
(D) III only
(E) I and II only
[Reveal] Spoiler: OA
Manager
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Joined: 03 Jun 2010
Posts: 184
Location: United States (MI)
Concentration: Marketing, General Management
WE: Business Development (Consumer Products)
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Kudos [?]: 21 [0], given: 40

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Re: 195. If m, n, and mn are nonzero integers, which of the foll [#permalink] New post 18 Feb 2011, 10:44
How m^n can be a non-integer, if it is given that it is an integer?
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Re: 195. If m, n, and mn are nonzero integers, which of the foll [#permalink] New post 18 Feb 2011, 10:55
ulm wrote:
How m^n can be a non-integer, if it is given that it is an integer?


I believe it is a typo; it should be "mn".

When m=-2; n=-1
m^n = 2^-1 = 1/2. Non integer

When n=2, m=-1
n^m = 2^-1 = 1/2. Non integer

When m=-2, n=3
m^n = (-2)^3=-8. Negative

Ans: "A"
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Re: 195. If m, n, and mn are nonzero integers, which of the foll   [#permalink] 18 Feb 2011, 10:55
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