Question
Answer
$$15i-20i^4+6-8i^3=23i-14$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}15i-20i^4+6-8i^3& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}15i-20+6+8i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}23i-14\end{aligned} $$ | |
| ① | $$ -20i^4 = -20 \cdot i^2 \cdot i^2 =
-20 \cdot ( - 1) \cdot ( - 1) =
-20 $$ |
| ② | $$ -8i^3 = -8 \cdot \color{blue}{i^2} \cdot i =
-8 \cdot ( \color{blue}{-1}) \cdot i =
8 \cdot \, i $$ |
| ③ | Combine like terms: $$ \color{blue}{15i} + \color{blue}{8i} + \color{red}{6} \color{red}{-20} = \color{blue}{23i} \color{red}{-14} $$ |
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