Can you help answer how this problem is solved?Express in a + bi form... (2 - 2i) ^5 ?
The answer is -128 + 128i... but how?
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Can you help answer how this problem is solved?Express in a + bi form... (2 - 2i) ^5 ?
The answer is -128 + 128i... but how?
Two ways to do this:
1) Brute foirce, using a polynomial expansion:
Apply this to (2-2i), and you get
2) Use D'Moivre's theorem:
where
Convert 2-2i to polar cordinates for the cis form: (2-2i) is radius 2and angle
Finally, convert back to rectangular coordinates:
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