Question

Given that i^2 =-1 compute the following powers of i. Please show steps.
i^3

Answer 1

\[i = \sqrt{-1}\]
\[i ^{3} = i ^{2}*i = -1*\sqrt{-1} = -\sqrt{-1}\]

Answer 2

\[i^0=1,i^1=i, i^2=-1, i^3=-i, i^4=1,\] lather, rinse, repeat