Mathematics Homework Help

I’m trying to learn for my Algebra class and I’m stuck. Can you help?

In the definition of Imaginary Numbers i2 = -1,

1) How can we evaluate i10 ?

2) How can we evaluate i20 ?

3) How can we evaluate iN , for N >0?

On three exercises show your work step- by-step. No work, no credi

HINT:

To find the rule for powers of i :

i0 = 1

i1= i

i2 = -1

i3 = i * i2 = i(-1) = -i

i5 = i2*i3 = (-1)(-i) = i