Question
Answer
$$5i^{18}=-5$$
Explanation
| $$ \begin{aligned}5i^{18}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-5\end{aligned} $$ | |
| ① | $$ 5i^{18} = 5 \cdot i^{4 \cdot 4 + 2} =
5 \cdot \left( i^4 \right)^{ 4 } \cdot i^2 =
5 \cdot 1^{ 4 } \cdot (-1) =
5 \cdot -1 = -5 $$ |
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