## anonymous 4 years ago Given that i^2 =-1 compute the following powers of i. Please show steps. i^3

1. anonymous

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

2. anonymous

$i^0=1,i^1=i, i^2=-1, i^3=-i, i^4=1,$ lather, rinse, repeat