Question

Simplify i^ 41

Answers: 1
-i
-1
i

Answer 1

i

Answer 2

i

Answer 3

reason is that it goes
\[i\]
\[i^2=-1\]
\[i^3=-i\]
\[i^4=1\] so repeats ever four.
you have
\[i^{41}\] so the only question is what is the remainder when you divide 41 by 4. the remainder is 1, so you know
\[i^{41}=i^1=i\]