Question
Answer
$$3i^{51}=-3i$$
Explanation
| $$ \begin{aligned}3i^{51}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-3i\end{aligned} $$ | |
| ① | $$ 3i^{51} = 3 \cdot i^{4 \cdot 12 + 3} =
3 \cdot \left( i^4 \right)^{ 12 } \cdot i^3 =
3 \cdot 1^{ 12 } \cdot (-i) =
3 \cdot -i = -3i $$ |
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