Answer
$$2(-i)^3=2i$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2(-i)^3& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}2\cdot-i^3 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}2\cdot1i \xlongequal{ } \\[1 em] & \xlongequal{ }2i\end{aligned} $$ | |
| ① | $$ \left( -i \right)^3 = (-1)^3i^3 = -i^3 $$ |
| ② | $$ -i^3 = - \color{blue}{i^2} \cdot i =
- ( \color{blue}{-1}) \cdot i =
\, i $$ |
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