SOLUTION: How do I simplify..imaginary numbers i to the fifteenth. i to the thirtyfifth. i to the fivehundredth and twelve. thank you!

Question 530241: How do I simplify..imaginary numbers
i to the fifteenth.
i to the thirtyfifth.
i to the fivehundredth and twelve.
thank you!
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
All you need to know is:

and

Beyond that, you need to know how to divide by 4 and find the remainder.

(When you divide 15 by 4 the remainder is 3).

(When you divide 35 by 4 the remainder is 3 too).
On the other hand
and

Do you get the idea?
By the way,

It's a multiple of 4. No remainder.
RELATED QUESTIONS
Here's my question to you. 28s to the fifteenth power over 42s to the twelfth power. It's (answered by josmiceli)

Imaginary numbers i to the 37... (answered by jim_thompson5910,josh_jordan,lwsshak3)