how do you use demoive's theorem on (8-8i)^(3/4)? show all work? don't know were to start

Answered Same DayDec 21, 2021

Answer To: how do you use demoive's theorem on (8-8i)^(3/4)? show all work? don't know were to start

David answered on Dec 21 2021

130 Votes

We wish to use de Moivre’s theorem to compute  
3/4
8 8 .i The first step is to rewrite 8 8i in
polar form. We have
 8 8 cos sin ,i r i   

where
 
228 8 128 8 2r     
and
 
8
arctan arctan 1 .
8 4


 
     
 
Thus we have
   4 48...

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how do you use demoive's theorem on (8-8i)^(3/4)? show all work? don't know were to start

Answer To: how do you use demoive's theorem on (8-8i)^(3/4)? show all work? don't know were to start

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