Question
Answer
$$7i^{25}=7i$$
Explanation
| $$ \begin{aligned}7i^{25}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}7i\end{aligned} $$ | |
| ① | $$ 7i^{25} = 7 \cdot i^{4 \cdot 6 + 1} =
7 \cdot \left( i^4 \right)^{ 6 } \cdot i^1 =
7 \cdot 1^{ 6 } \cdot i =
7 \cdot i $$ |
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