Question
Answer
$$x(-5i)^3=125ix$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}x(-5i)^3& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}x\cdot-125i^3 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}x\cdot125i \xlongequal{ } \\[1 em] & \xlongequal{ }125ix\end{aligned} $$ | |
| 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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