Question
Answer
$$10i^{118}=-10$$
Explanation
| $$ \begin{aligned}10i^{118}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-10\end{aligned} $$ | |
| ① | $$ 10i^{118} = 10 \cdot i^{4 \cdot 29 + 2} =
10 \cdot \left( i^4 \right)^{ 29 } \cdot i^2 =
10 \cdot 1^{ 29 } \cdot (-1) =
10 \cdot -1 = -10 $$ |
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