Question
Answer
$$-5i^2+3i^8=5+3$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-5i^2+3i^8& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}5+3\end{aligned} $$ | |
| ① | $$ -5i^2 = -5 \cdot (-1) = 5 $$ |
| ② | $$ 3i^8 = 3 \cdot i^{4 \cdot 2 + 0} =
3 \cdot \left( i^4 \right)^{ 2 } \cdot i^0 =
3 \cdot 1^{ 2 } \cdot 1 =
3 \cdot 1 $$ |
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