Yesterday I learned about i. We use it to describe imaginary numbers. This is the definition of i: i = √ -1  Now if that is true, then the following is true: i² =i· i = -1 i³ = i² · i = –i i⁴ = i³ · i = 1 i⁵ = i⁴ · i = i i⁶ = i⁴ · i² = -1 i⁷ = i⁴ · i³ = i³ = –i i⁸ = i⁴ · i⁴ = 1 i⁹ = i⁸ · i = i i¹⁰ = i⁸ · i² = -1 As you can see, every 4th power of i = 1. So you can just divide i‘s exponent by 4 and the remainder will tell you the answer {1,i,-1,or –i}.

These are the questions I did yesterday. A complex number has two parts – a real part and an imaginary part. For example: 3 + 6i I’ll write another post on them later.