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" 6) "((sqrt(3)+i)/(2))^(6)+((i-sqrt(3))...

" 6) "((sqrt(3)+i)/(2))^(6)+((i-sqrt(3))/(2))^(6)=

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show that ((sqrt(3)+i)/(2))^(6)+((i-sqrt(3))/(2))^(6)=-2

((-1+i sqrt(3))/(2))^(6)+((-1-i sqrt(3))/(2))^(6)+((-1+i sqrt(3))/(2))^(5)+((-1-i sqrt(3))/(2))^(6)

show that ((sqrt(3)+i)/2)^6+((i-sqrt(3))/2)^6=-2

((1)/(2)+sqrt(3)/(2)i)^(6)

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the value of ((1+i sqrt(3))/(1-i sqrt(3)))^(6)+((1-i sqrt(3))/(1+i sqrt(3)))^(6) is

If i=sqrt(-)1, then 4+5(-(1)/(2)+(i sqrt(3))/(2))^(334)+3(-(1)/(2)+(i sqrt(3))/(2))^(365) is equal to (1)1-i sqrt(3)(2)-1+i sqrt(3)(3)i sqrt(3)(4)-i sqrt(3)