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

Show that the product [1+(1+i)/(2)][1+((1+i)/(2))^(2)][1+((1+i)/(2))^(2^(2))]dots[1+((1+i)/(2))^(2^(n))] is equal to (1-(1)/(2^(2n)))(1+i)

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

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

(1+i)^(4)+(1-i)^( 4) is equal to

The number ((1+i)^(n))/((1-i)^(n-2)) is equal to

The argument of the complex number (2+3i)/((3+i)+(1+2i)^(2)) is equal to

((1+i)/(sqrt(2)))^(8)+((1-i)/(sqrt(2)))^(8) is equal to

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