Tap the blue circles to see an explanation.
| $$ \begin{aligned}(-3i)^4& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}81i^4 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}81\end{aligned} $$ | |
| ① | $$ \left( -3i \right)^4 = (-3)^4i^4 = 81i^4 $$ |
| ② | $$ 81i^4 = 81 \cdot i^2 \cdot i^2 =
81 \cdot ( - 1) \cdot ( - 1) =
81 $$ |