Question

Simplify: i^67

1) i
2) -1
3) -i
4) 1

Answer 1

i^4n =1

Answer 2

So i^4*16 = i^64 = 1

Answer 3

1*i^2 = 1*-1 =-1

Answer 4

i^64*i^2 = -1 *i =-i

Answer 5

so its #3?

Answer 6

Yes.

Answer 7

So if it was i^72...the answer would still be -i?

Answer 8

i^4*18 = i^72 = 1

If your power divides by 4 then it's 1.

So you get as near as u can. Say it was 74, then u have 1 (the 72) * i^2 (the other 2) =1*-1 = -1.