Answer
$$-i^6=1$$
Explanation
| $$ \begin{aligned}-i^6& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}1\end{aligned} $$ | |
| ① | $$ -i^6 = - i^{4 \cdot 1 + 2} =
- \left( i^4 \right)^{ 1 } \cdot i^2 =
- 1^{ 1 } \cdot (-1) =
- -1 = 1 $$ |
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