Graph: - 4x + 4y > 20 & 4x + 4y < -12
please help
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Step-by-step explanation:

Start by doing a much simpler problem

One

i^0 = 1

i^1 = i

i^2 = i^2 = - 1

i^3 = i^3 = (-1) * i = -i

i^4 = i^4 = (i)^2 * i^2 = -1 * -1 = 1

So now you are ready to tackle the question you were given.

Two

Every 4th power of i repeats itself. You must get one of the four answers above.

So divide 5689 by 4. What do you get?

1422.25

What does that mean?

It means that you run through the cycle of four 1422 times.  What does that mean?

1 * 1 * 1 * 1 * 1 * 1 * 1 * 1 *1

There are 1422 ones in that expression.

What about the 0.25? What about that?

That means that you have one i left over.

So the answer is i

Three

The simple question defines the pattern which will repeat itself over and over again. By knowing how the simple pattern works you can develop any power of i. For example

i^15622 =

3905.5

0.5 is the same as 2/4

i^2 = -1

i^15622 = - 1