Science:Math Exam Resources/Courses/MATH152/April 2022/Question A04
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Question A04 |
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Simplify the complex number to the form . You may leave powers such as in the answer. |
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? |
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! |
Hint |
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There is another way to express complex numbers using the exponential function. This is better suited for taking powers. |
Checking a solution serves two purposes: helping you if, after having used the hint, you still are stuck on the problem; or if you have solved the problem and would like to check your work.
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Solution |
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Found a typo? Is this solution unclear? Let us know here.
Please rate my easiness! It's quick and helps everyone guide their studies. Recall that we can write complex numbers as vectors in . Knowing this, the vector represents the complex number , and has norm and polar angle . So, we have Thus, we may compute |