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 + 6
i
I'll write another post on them later.