SOLUTION: Complete the following equations: 1. (−[1/2] + [(√3)/2]i)3=_____+_____i 2. (−[1/2] − [(√3)/2]i)3=_____+_______i 3. (−[1/2] + [(√3)/2]i)

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Question 376282: Complete the following equations:
1. (−[1/2] + [(√3)/2]i)3=_____+_____i
2. (−[1/2] − [(√3)/2]i)3=_____+_______i
3. (−[1/2] + [(√3)/2]i)3000=_____ +_____ i
(−[1/2] − [(√3)/2]i)3000=_____+_____i
I dont understand how to do these...

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Complete the following equations:
1. (−[1/2] + [(√3)/2]i)3=_____+_____i
Is the 3 the exponent?
like that?
= (1*cis(300))^3
= 1cis(900)
= -1
-----------------
2. (−[1/2] − [(√3)/2]i)3=_____+_______i
3. (−[1/2] + [(√3)/2]i)3000=_____ +_____ i
(−[1/2] − [(√3)/2]i)3000=_____+_____i
I dont understand how to do these...

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