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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: 1611
Followers: 6

Kudos [?]: 74 [0], given: 0

Is a nonzero integer K = 1? (1) K^K=K (2) K^K=1 [#permalink]  10 Jul 2003, 23:21
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(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 1 sessions
Is a nonzero integer K = 1?

(1) K^K=K
(2) K^K=1
Director
Joined: 03 Jul 2003
Posts: 656
Followers: 2

Kudos [?]: 21 [0], given: 0

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: 1611
Followers: 6

Kudos [?]: 74 [0], given: 0

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: 1797
Location: NewJersey USA
Followers: 5

Kudos [?]: 41 [0], given: 0

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.
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