kishokbabu wrote:IS Z^n=1, what is the value of Z ?
1) n is a non zero integer
2) Z>0
I cannot understand the explanation givin in OG? can anyone expalin this qn
z^n=1
1.z^n = 1 if z = 1 and n takes any value. 1^n = 1
z^n = 1 if z = -1 and n takes even value as negative value raised to even power gives positive outcome. So z = -1 or 1. INSUFF
2.Z > 0 so z cannot be negative.
z^n = 1, if n = 0 and z = 1 or 2 or 3 or any value as a^0 = 1
z^n = 1, if n != 0 and z = 1.
Z takes more than one value. INSUFF.
Combining both we get z =1 as n !=0 and z > 0.
IMO C.
What is the OG explanation by the way, and which part you couldn't understand ?
