Question

Simplify i41

i

−1

−i

1

Answer 1

i^41

Answer 2

i assume this is
\[i^{41}\]

Answer 3

yess

Answer 4

\[i^0=1\\
i^1=i\\
i^2=-1\\
i^3=-i\\
i^4=1\] and the pattern continues

Answer 5

take the integer remainder when you divide \(41\) by \(4\)
you get \(1\) since \(4\) goes in to \(40\) \(10\) times with a remainder of \(1\)
therefore \(i^{41}=i^1=1\)

Answer 6

oops

Answer 7

\[i^{41}=i^1=i\] is the correct answer

Answer 8

-1?