Simplify i^59
Then
i= √(-1)
or
i= (-1)^(1/2)
Then now use rule of exponents
a^b^c = a^( b•c)
So then
i^59 = (-1)^( 1/2)^( 59) =
. = (-1)^ (59/2) = (-1)^( 29 + 1/2)
. = (-1)^ 29 x (-1)^ (1/2)
Then
(-1)^29 = -1
and
(-1)^(1/2) = i
Therefore
i^59 = (-1)•(i) = -i
ANSWER IS THEN
OPTION A) -i