Is a nonzero integer K = 1? (1) K^K=K (2) K^K=1 : PS Archive
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# Is a nonzero integer K = 1? (1) K^K=K (2) K^K=1

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SVP
Joined: 03 Feb 2003
Posts: 1603
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Kudos [?]: 245 [0], given: 0

Is a nonzero integer K = 1? (1) K^K=K (2) K^K=1 [#permalink]

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10 Jul 2003, 23:21
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0% (00:00) correct 0% (00:00) wrong based on 1 sessions

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Is a nonzero integer K = 1?

(1) K^K=K
(2) K^K=1
Director
Joined: 03 Jul 2003
Posts: 652
Followers: 3

Kudos [?]: 91 [0], given: 0

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11 Jul 2003, 03:00
My Ans: D

From 1: K = 0 & 1 => Question says Non Zero integer, so K = 1
From 2: K = 1

Where am I making the mistake?
SVP
Joined: 03 Feb 2003
Posts: 1603
Followers: 8

Kudos [?]: 245 [0], given: 0

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11 Jul 2003, 04:09
My Ans: D

From 1: K = 0 & 1 => Question says Non Zero integer, so K = 1
From 2: K = 1

Where am I making the mistake?

(1) K=1 or -1 not OK
(2) K=1 OK

Remember 0^0 is an uncertain case and cannot be solved with simple school math methods. Downward the forum, there is a long discussion over the matter. The rule is simple -- if you see 0^0, neglect it.

I always write in such questions that integers cannot be zero eliminating possible a long and senseless discussion.
SVP
Joined: 30 Oct 2003
Posts: 1793
Location: NewJersey USA
Followers: 5

Kudos [?]: 98 [0], given: 0

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26 Jan 2004, 10:58
It should be D.
The Q says non zero integer K. Answer B would be correct if the Q just said Integer K = 1?
K = -1 is not valid because it is -ve.
26 Jan 2004, 10:58
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