Question

Simplify i^16
A)-1
B)1
C)i
D)-i

Answer 1

Hint: \[i^2 = -1\]

Answer 2

X it by 16?

Answer 3

No, what if I write it as \[i^{16} = i^2 \times i^2 \times i^2....\] 8 times

Answer 4

\[(i^2)^8 =~?\]

Answer 5

\[(i^4)^4\]

Answer 6

1?

Answer 7

Yup!

Answer 8

\[(i^2)^{32/4}\]

Answer 9

Lol ok im done.

Answer 10

lol

Answer 11

jhannybean don't know what you meant on that last comment you put lol

Answer 12

Oh, i said im done trying to find derivations of the same thing : \(i^{16}\) lol.

Answer 13

I was talking about where you got 32/4

Answer 14

any exponent of i divisible by 4=1

ie i^16, i^32, i^400 all = 1

Answer 15

I would had never known that if you did not just tell me so thank you:)

Answer 16

:)

Answer 17

32/4 = 8