Answer
$$i^{223}=-i$$
Explanation
| $$ \begin{aligned}i^{223}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-i\end{aligned} $$ | |
| ① | $$ i^{223} = i^{4 \cdot 55 + 3} =
\left( i^4 \right)^{ 55 } \cdot i^3 =
1^{ 55 } \cdot (-i) =
-i = -i $$ |
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