Question
Answer
$$6^2-5i^2+i^3=-i+41$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}6^2-5i^2+i^3& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}6^2-(-5)-i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}36-(-5)-i \xlongequal{ } \\[1 em] & \xlongequal{ }36+5-i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-i+41\end{aligned} $$ | |
| ① | $$ 5i^2 = 5 \cdot (-1) = -5 $$$$ i^3 = \color{blue}{i^2} \cdot i =
( \color{blue}{-1}) \cdot i =
- \, i $$ |
| ② | -i+i=0i |
| ③ | Combine like terms: $$ \color{blue}{36} + \color{blue}{5} -i = -i+ \color{blue}{41} $$ |
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