Question

Simplify each of the following powers of i. I^22

Answer 1

-1 is the edge answer

Explanation:

Answer 2

-1

Explanation:

i^0 =1

i ^1 = i

i^2 =-1

i^3 = -i

It cycles through by 4

so i^4 is back to 1

Take the power , divide by 4 and look to the chart for the remainder

If the remainder is 0 then i to that power is 1

1 i

2 -1

3 -i

i^22

Take 22/4 = 5 remainder 2

The remainder is 2 so i^22 = -1