Answer:
OPtion C (i)
Step-by-step explanation:
Given that i is raised to even power.
We have in complex number one part as imaginary number
Imaginary number is denoted by i, which is square root of -1.
In real numbers we can have perfect squares as only positive
Hence square root of -1 is only imaginary
When i is raised to even powers we get
[tex]i^2=-1\\i^4=1\\i^6=-1\\i^8=1[/tex]
and so on.
i.e. this answer can not be imaginary but alternating between -1 and 1. Hence cannot simplify to i
