Question
Answer
$$3(2i)^3=-24i$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3(2i)^3& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}3\cdot8i^3 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}3\cdot-8i \xlongequal{ } \\[1 em] & \xlongequal{ }-24i\end{aligned} $$ | |
| ① | $$ \left( 2i \right)^3 = 2^3i^3 = 8i^3 $$ |
| ② | $$ 8i^3 = 8 \cdot \color{blue}{i^2} \cdot i =
8 \cdot ( \color{blue}{-1}) \cdot i =
-8 \cdot \, i $$ |
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