Answer
$1+0i$
Work Step by Step
Given: $i^{100}$
Use basic exponent rules $(a^b)^c=a^{bc}$:
$=(i^{2})^{50}$
Since, $i^2=-1$ and $i=\sqrt{-1}$
Thus,
$=(-1)^{50}$
$=1$
There are no imaginary terms, so we can write the answer in the complex form as:
$=1+0i$
