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# Z^n = 1, What is the value of Z? 1. n is a nonzero integer

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Manager
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Z^n = 1, What is the value of Z? 1. n is a nonzero integer [#permalink]  22 Nov 2004, 10:14
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Z^n = 1, What is the value of Z?

1. n is a nonzero integer
2. z>0
Director
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z^n = 1

happens if z=1 whatever n value, OR if n=0 whatever z value

Statement 1 : n is a nonzero integer, so z= 1 enough

Statement 2 : z>0 could be z=1 or not so not enough

My choice is A
Senior Manager
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Ill go with E..

statement 1.. if n=1, z=1, of n=2, then z= +1 or -1. hence, insuff.

statement 2-- very much insuff. no doubt.

combining, Z^n=1, since n is not 0, there is no way of finding out Z ..
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Senior Manager
Joined: 19 May 2004
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I'll pick C here.

1) Z could be +1 or (-1) .. we don't know.

2) Z>0 so n=0 or z=1.

together, Z=1.
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After reading this I have a fundamental question - since this question can be rewritten as z= 1^1/n, isn't z always 1
Manager
Joined: 09 Sep 2004
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After reading this I have a fundamental question - since this question can be rewritten as z= 1^1/n, isn't z always 1

rthothad - z can be 1 or -1 if n is even.

Yep the ans is C.
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