Question
Answer
$$(2i)^5=32i$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(2i)^5& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}32i^5 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}32i\end{aligned} $$ | |
| ① | $$ \left( 2i \right)^5 = 2^5i^5 = 32i^5 $$ |
| ② | $$ 32i^5 = 32 \cdot i^{4 \cdot 1 + 1} =
32 \cdot \left( i^4 \right)^{ 1 } \cdot i^1 =
32 \cdot 1^{ 1 } \cdot i =
32 \cdot i $$ |
This page was created using
Complex Expression calculator