# How do you use the exponent to determine the simplified form of any power of i?

${i}^{2 n} = {\left(- 1\right)}^{n} = \pm 1$, according as n is even or odd.
$i \left(2 n + 1\right) = {\left(- 1\right)}^{n} i = \pm i$, according as n is even or odd.