Find the smallest positive integer value of `n` for which `((1+i)^n)/((1-i)^(n-2))` is a real number.

Find the smallest positive integer value of n for which ((1+i)^(n-2))/((1-i)^(n-2)) is a real number.

Find the smallest positive integer value of n for which ((1+i)^(n-2))/((1-i)^(n-2)) is a real number.

Find the smallest positive integer value of n for which ((1+i)^(n-2))/((1-i)^(n-2)) is a real number.

Find the smallest positive integer n for which ((1+iota)^(n))/((1-iota)^(n-2)) is a positive real number.

The least positive integral value of n for which ((1+i)/(1-i))^(n) is real :

Find the smallest positive integer n, for which ((1+i)/(1-i))^(n)=1

The smallest positive integral value of n for which (1+sqrt(3)i)^((pi)/(2)) is real is

Write the least positive integral value of n for which ((1+i)/(1-i))^(n) is real.