Question

Which expression is equivalent to i to the power of 233

a. 1
b.-1
c.i
d.-i

Answer 1

i works in a cycle of fours
i^0=1
i^1= i
i^2= -1
i^3=-i
So divide the number by four and whatever the remainder is you use in this key so 233/4 = 58 remainder 1 so that is equivalent to i^1 which is i
So the answer is c) i
I hope this helped you