Question

Simplify i231 where i is the imaginary unit and is defined as: i = sqrt(-1).

Answer 1

I think the answer would be -1

Answer 2

yup -1

Answer 3

no i do not think it is -1

Answer 4

\[i^{231}\] take the integer remainder when dividing 231 by 4 and you get 3 (since 4 divides 228 evenly)
therefore
\[i^{231}=i^3=-i\]

Answer 5

\[i^0=1,i^1=i,i^2=-1,i^3=-i,i^4=1, ...\]

Answer 6

answer is indeed -i