Question

Imaginary Numbers what is i^16
A 1
B i
C -1
D -i

Answer 1

Answer: A. 1

Explanation:

The idea of imaginary number is [i]=√-1, which usually occurs to be undefined in the real number system.

i=√-1

i^2=-1

i^3=-i

i^4=1

In the following question, it is asked to find i^16.

In order to find it, we divide 16 by 4, so to find which place it lands on.

16÷4=4

It is a perfect division, so it lands on i^4, which is 1

Answer 2

A: 1

Explanation:

`i^(16)=\left(i^2\right)^8=\left(-1\right)^8=1`