Question
Answer
$$3i(2i^5-4i)=6$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3i(2i^5-4i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}3i(2i-4i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}3i\cdot-2i \xlongequal{ } \\[1 em] & \xlongequal{ }-6i^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}6\end{aligned} $$ | |
| ① | $$ 2i^5 = 2 \cdot i^{4 \cdot 1 + 1} =
2 \cdot \left( i^4 \right)^{ 1 } \cdot i^1 =
2 \cdot 1^{ 1 } \cdot i =
2 \cdot i $$ |
| ② | Combine like terms: $$ \color{blue}{2i} \color{blue}{-4i} = \color{blue}{-2i} $$ |
| ③ | $$ -6i^2 = -6 \cdot (-1) = 6 $$ |
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