SOLUTION: how do I solve: i^11 = that is i to the 11th power is =

Algebra ->  Exponents -> SOLUTION: how do I solve: i^11 = that is i to the 11th power is =       Log On


   



Question 516540: how do I solve:
i^11 =
that is i to the 11th power is =

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Remember:

i^0 = 1
i^1 = i
i^2 = -1
i^3 = -i
i^4 = 1
.
.
.
The pattern repeats every four times. Since 11 leaves a remainder of 3 when divided by 4, then i^11 = i^3 = -i.