`1+i+i^(2)+i^(3)` is equal to

(1+2i)/(1+3i) is equal to

The value of ((1-i)^(3))/(1-i^(3)) is equal to

If a_(1),a_(2),a_(3),... are in A.P.and a_(i)>0 for each i,then sum_(i=1)^(n)(n)/(a_(i+1)^((2)/(3))+a_(i+1)^((1)/(3))a_(i)^((1)/(3))+a_(i)^((2)/(3))) is equal to

If z=(sqrt(3+i))/(2)( where i=sqrt(-1)) then (z^(101)+i^(103))^(105) is equal to

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)

If A is a square matrix such that A^(2)=I, then (A-I)^(3)+(A+I)^(3)-7A is equal to A(b)I-A(c)I+A(d)3A

((1+i)/(1-i))^(2) + ((1-i)/(1+i))^(2) is equal to :

((1+i)^(3))/(2+i) is equal to