Question
Answer
$$4i^7+3i^{25}=-4i+3i$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}4i^7+3i^{25}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-4i+3i\end{aligned} $$ | |
| ① | $$ 4i^7 = 4 \cdot i^{4 \cdot 1 + 3} =
4 \cdot \left( i^4 \right)^{ 1 } \cdot i^3 =
4 \cdot 1^{ 1 } \cdot (-i) =
4 \cdot -i = -4i $$ |
| ② | $$ 3i^{25} = 3 \cdot i^{4 \cdot 6 + 1} =
3 \cdot \left( i^4 \right)^{ 6 } \cdot i^1 =
3 \cdot 1^{ 6 } \cdot i =
3 \cdot i $$ |
This page was created using
Complex Expression calculator