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Is a nonzero integer Z prime? (1) |Z|^|Z|=4 (2) |Z^Z|=Z^2

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Is a nonzero integer Z prime? (1) |Z|^|Z|=4 (2) |Z^Z|=Z^2 [#permalink] New post 11 Sep 2006, 10:10
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Is a nonzero integer Z prime?

(1) |Z|^|Z|=4
(2) |Z^Z|=Z^2
Director
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 [#permalink] New post 11 Sep 2006, 10:43
A) Z can be -2 or 2, so it may or may not be prime.
B) z=0 and z=2 satisfy B) provided that Z is a nonzero integer, B) is SUFF

B
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 [#permalink] New post 11 Sep 2006, 13:49
BG wrote:
A) Z can be -2 or 2, so it may or may not be prime.
B) z=0 and z=2 satisfy B) provided that Z is a nonzero integer, B) is SUFF

B


For (2), Couldn't z be 1? Also, as a side note, z cannot be zero
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 [#permalink] New post 12 Sep 2006, 00:43
Agree kevinkan , If z=1 then B is true , so seems that C) is the solution.
FOr A and B 2 is a common solution, IMO it is C)
  [#permalink] 12 Sep 2006, 00:43
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Is a nonzero integer Z prime? (1) |Z|^|Z|=4 (2) |Z^Z|=Z^2

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