If z^n =1 , what is the value of z? 1) n is a nonzero

Question

If z^n =1 , what is the value of z?

1) n is a nonzero integer

2) z>0

ilyasuluocak · Answer

z^n =1

There can be two solutions for above question normally to find the result as 1.
n can be zero (in this case z can be every integer except 0) or z can be 1 and -1 (if n is even).

1) if n is a nonzero integer then we can say that z=1 
2) if z>0, this is not enough to solve the question.

The answer is A

gmatnub · Answer

this is c

statement 1: z could be 1 or -1, and n could be any even integer

GMAT TIGER · Answer

1: n could be -1 or 1 or anything elase.

if z = 0.5 and n = -1; z^n = 0.5^-1 = 1/0.5 = 1
if z = 1 and n = 1, z^n = 1
if z = 1 and n = -1, z^n = 1
so nsf.

2: z > 0.
z could be 0.5 or 1.

so E.

rino · Answer

my answer is C

1) ins- it could be 1 and -1

2) ins- n could be zero -infinit solutions

together- could be only 1- suff- thus C

GMAT TIGER · Answer

what the **** i am doing here?

sorry guys - time to go for vacation.

sset009 · Answer

from questions three options

1) z = any number, n = 0, 
2) z = 1, n = any number
3) z = -1, n = even number

from statement (a), we know z = +/- 1

(b) from two, we know, z > 0, ie. 1, 2 ...

join the two, z = 1

therefore C

apurva1985 · Answer

i thk only statement 1 will be sufficent.............so will go with A

If z^n =1 , what is the value of z? 1) n is a nonzero

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