Question
Answer
$$-5i^{100}=-5$$
Explanation
| $$ \begin{aligned}-5i^{100}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-5\end{aligned} $$ | |
| ① | $$ -5i^{100} = -5 \cdot i^{4 \cdot 25 + 0} =
-5 \cdot \left( i^4 \right)^{ 25 } \cdot i^0 =
-5 \cdot 1^{ 25 } \cdot 1 =
-5 \cdot 1 $$ |
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