arg(i(sqrt(3)+i)^(6))/(4(1-i sqrt(3))^(2))" is equal to "

(sqrt(3)+i)^(6)+(sqrt(3)-i)^(6)=

If z=((1+i sqrt(3))^(2))/(4i(1-i sqrt(3))) is a complex number then a.arg(z)=(pi)/(4) b.arg(z)=(pi)/(2)c|z|=(1)/(2)d.|z|=2

((1+sqrt(3)i)/(1-sqrt(3)i))^(181) + ((1-sqrt(3)i)/(1+sqrt(3)i))^(181) is equal to ______________

n is any integer then arg(((sqrt(3)+i)^(4n+1))/((1-sqrt(3)i)^(4n)))=....

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)