Tap the blue circles to see an explanation.
$$ \begin{aligned}-11(-10i)^2& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-11\cdot100i^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-11\cdot(-100) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}1100\end{aligned} $$ | |
① | $$ \left( -10i \right)^2 = (-10)^2i^2 = 100i^2 $$ |
② | $$ 100i^2 = 100 \cdot (-1) = -100 $$ |
③ | $ -11 \cdot ( -100 ) = 1100 $ |