Question
Answer
$$3^3\cdot(2-2i)=-54i+54$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3^3\cdot(2-2i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}27\cdot(2-2i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}54-54i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-54i+54\end{aligned} $$ | |
| ① | -2i+2i=0i |
| ② | Multiply $ \color{blue}{27} $ by $ \left( 2-2i\right) $ $$ \color{blue}{27} \cdot \left( 2-2i\right) = 54-54i $$ |
| ③ | Combine like terms: $$ -54i+54 = -54i+54 $$ |
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