User:Jwinters/Sandbox

$i^{n}={\begin{cases}i,&{\mbox{if }}n{\bmod {4}}=1\\-1,&{\mbox{if }}n{\bmod {4}}=2\\-i,&{\mbox{if }}n{\bmod {4}}=3\\1,&{\mbox{if }}n{\bmod {4}}=0\\\end{cases}}$

$i^{n}={\begin{cases}i,&{\mbox{if the remainder of }}n/4=1\\-1,&{\mbox{if the remainder of }}n/4=2\\-i,&{\mbox{if the remainder of }}n/4=3\\1,&{\mbox{if the remainder of }}n/4=0\\\end{cases}}$