Question

If i is raised to an even power, then it can not simplify to be


Answers: -1, 1, i

Answer 1

the correct answer is

C) i

Answer 2

OPtion C (i)

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

`i^2=-1\\i^4=1\\i^6=-1\\i^8=1`

and so on.

i.e. this answer can not be imaginary but alternating between -1 and 1. Hence cannot simplify to i