Question

1. if (i = sqrt{-1}) and (i^{2}=(sqrt{-1})^{2}=-1). then what does (i^{4}=)?

Explanation:

Step1: Rewrite $i^4$

We know that $i^4=(i^2)^2$.

Step2: Substitute $i^2 = - 1$

Substitute $i^2=-1$ into $(i^2)^2$, we get $(-1)^2$.

Step3: Calculate $(-1)^2$

$(-1)^2 = 1$.

Answer:

$1$