Question
Answer
$$(2i)^9=512i$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(2i)^9& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}512i^9 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}512i\end{aligned} $$ | |
| ① | $$ \left( 2i \right)^9 = 2^9i^9 = 512i^9 $$ |
| ② | $$ 512i^9 = 512 \cdot i^{4 \cdot 2 + 1} =
512 \cdot \left( i^4 \right)^{ 2 } \cdot i^1 =
512 \cdot 1^{ 2 } \cdot i =
512 \cdot i $$ |
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