Answer
$$(5i)^3\cdot2x=-250ix$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(5i)^3\cdot2x& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}125i^3\cdot2x \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-125i\cdot2x \xlongequal{ } \\[1 em] & \xlongequal{ }-250ix\end{aligned} $$ | |
| ① | $$ \left( 5i \right)^3 = 5^3i^3 = 125i^3 $$ |
| ② | $$ 125i^3 = 125 \cdot \color{blue}{i^2} \cdot i =
125 \cdot ( \color{blue}{-1}) \cdot i =
-125 \cdot \, i $$ |
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