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

If n is an odd integer, i= sqrt -1 then [ (1 + i)^(6n) + (1 - i)^(6n) ] is equal to

The expression ((1+i)^(n))/((1-i)^(n-2)) equals

The expression ((1+i)^(n))/((1-i)^(n-2)) equals

Statement - I : If n = 4m + 3 , is integer then i^(n) is equal to -i Statement- II : If n in N then (1 + i)^(2n) + (1- i)^(2n) is purely real number

If n is a positive integer,then (1+i)^(n)+(1-1)^(n) is equal to

The expression frac{(1+i)^n}{(1-i)^(n-2)} equals

If (1-i)^n = 2^n , then n is equal to

If n_1, n_2 are positive integers, then (1 + i)^(n_1) + ( 1 + i^3)^(n_1) + (1 + i^5)^(n_2) + (1 + i^7)^(n_2) is real if and only if :

If n_1, n_2 are positive integers, then (1 + i)^(n_1) + ( 1 + i^3)^(n_1) + (1 + i_5)^(n_2) + (1 + i^7)^(n_2) is real if and only if :