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Hey I have a question, what is (z+w)^9 and (z-w)^9 if z is \(-\frac{1}{2}-\frac{\sqrt{3}}{2}i\) and w is \(-\frac{\sqrt{3}}{2}+\frac{1}{2}i\)

 

For (z-w)^9i keep getting -i but it seems to be wrong. I will appreciate it if anyone can help!

 

:) 

 Jun 8, 2022
 #1
avatar+128081 
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This is rather lengthy, Vinculum....if I keyed everything in correctly, see if this  helps

 

 

https://www.wolframalpha.com/input?i=%5B+%28+%C2%A0+-+1+-sqrt+%283%29+i+%29+%2F2%C2%A0+-+%28+sqrt+%283%29++-+1i%29++%2F2%C2%A0+%5D+%5E9

 

 

 

 

 

cool cool cool

 Jun 8, 2022
 #2
avatar+579 
+3

Thank you CPhill, 

 

The answer seems to be wrong. I think there must be an error on my side. I'll check again and plug it in WolframAlpha.

Vinculum  Jun 8, 2022

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