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Use DeMoivre’s Theorem to find the indicated power of the complex number. Write answers in rectangular form.

Use DeMoivre’s Theorem to find the indicated power of the complex number. Write answers-example-1

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The answer is i/729

It's possible to write the answer as (1/729)i, but I think your teacher just wants one fraction without the extra bit at the end. So I'd go with the i/729 format

See the attached image for the steps on how I got to the answer.
Use DeMoivre’s Theorem to find the indicated power of the complex number. Write answers-example-1
User Frik
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