
Write the following numbers in exponential form: 2 + 2√3i og 1 − i. Draw them into the complex plane.

Here is the plot of the complex numbers \( 2 + 2\sqrt{3}i \) (in blue) and \( 1 - i \) (in red) on the complex plane:

- The blue point represents \( 2 + 2\sqrt{3}i \), which lies at \( (2, 2\sqrt{3}) \) and makes an angle of \( \frac{\pi}{3} \) with the positive real axis.
- The red point represents \( 1 - i \), which lies at \( (1, -1) \) and makes an angle of \( -\frac{\pi}{4} \) with the positive real axis.

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### Related Questions:
1. How do you convert a complex number from exponential form to standard form?
2. What are the polar coordinates of the complex number \( 3 + 4i \)?
3. How do you find the conjugate of a complex number in exponential form?
4. What is the geometric interpretation of multiplying two complex numbers?
5. How do you calculate powers of complex numbers using exponential form?

### Tip:
When working with complex numbers in exponential form, the magnitude represents the distance from the origin, and the argument represents the angle from the positive real axis.

Write the following numbers in exponential form: 2 + 2√3i og 1 − i. Draw them into the complex plane.

Learn how to write the complex numbers 2 + 2√3i and 1 - i in exponential form and plot them on the complex plane. This solution covers key mathematical concepts, such as exponential form, polar coordinates, and Euler's formula. Suitable for students in Grades 10-12.

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