Question
Answer
$$15i^{29}=15i$$
Explanation
| $$ \begin{aligned}15i^{29}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}15i\end{aligned} $$ | |
| ① | $$ 15i^{29} = 15 \cdot i^{4 \cdot 7 + 1} =
15 \cdot \left( i^4 \right)^{ 7 } \cdot i^1 =
15 \cdot 1^{ 7 } \cdot i =
15 \cdot i $$ |
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