Question
Answer
$$i^{38}=-1$$
Explanation
| $$ \begin{aligned}i^{38}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-1\end{aligned} $$ | |
| ① | $$ i^{38} = i^{4 \cdot 9 + 2} =
\left( i^4 \right)^{ 9 } \cdot i^2 =
1^{ 9 } \cdot (-1) =
-1 = -1 $$ |
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