Powers of Complex Numbers & Finding Principal Values


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question 1 of 3

The complex number Z = 3ei40o is in _____.

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1. For Z = 32ei10o , arg Z is _____.

2. In what range for arg Z do we satisfy the principal value requirement?

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About This Quiz & Worksheet

The questions contained in this short multiple-choice quiz will test your knowledge of complex powers and principle values. The quiz is scored automatically and can be taken multiple times.

Quiz & Worksheet Goals

You will be tested on the following:

  • Identifying the form of a complex number
  • Satisfying the principle value requirement in a range for arg Z
  • Converting arg Z to a principle value argument

Skills Practiced

  • Knowledge application - use your knowledge to answer questions about complex powers and principle values
  • Interpreting information - verify that you can read information about satisfying the principle value requirement and interpret it correctly
  • Information recall - access the knowledge you've gained regarding how to convert arg Z to a principle value argument

Additional Learning

You can learn even more about this topic with the lesson titled Powers of Complex Numbers & Finding Principle Values. Here's what you will find in this lesson:

  • Review of powers of complex numbers
  • Guidance on how to find principle values
  • Sample formulas