Question
Answer
$$\dfrac{(5i)^2}{3}=-\dfrac{25}{3}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{(5i)^2}{3}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{25i^2}{3} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-\frac{25}{3}\end{aligned} $$ | |
| ① | $$ \left( 5i \right)^2 = 5^2i^2 = 25i^2 $$ |
| ② | $$ 25i^2 = 25 \cdot (-1) = -25 $$ |
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