Question

Perform the indicated operation and write the result in the form a + bi i^100

Answer 1

$i^{100}=i^{4\cdot25}=\left(i^4\right)^{25}$

Recall that $i^4=1$, since $i^2=-1$. Then

$i^{100}=1^{25}=1$

so that in the form $a+bi$, we have $a=1$ and $b=0$.