" 11."(1-i)^(n)(1-(1)/(i))^(n)=2^(n)" for all values of "n in N

Show that (1-i)^(n)(1-(1)/(i))^(n)=2^(n) for all n in N

If ((1+i)/(1-i))^n =1 , then the smallest value of n is :

If n is a positive integer and (1+i)^(2n)+(1-i)^(2n)=kcos(npi//2) then the value of k is

Find the value of i^(n)+i^(n+1)+i^(n+2)+i^(n+3) for all n in N.

If (1+i)^(2n)+(1-i)^(2n)=-2^(n+1)(where,i=sqrt(-1) for all those n, which are

If (1+i)^(2n)+(1-i)^(2n)=-2^(n+1)(where,i=sqrt(-1) for all those n, which are

If (1+i)^(2n)+(1-i)^(2n)=-2^(n+1)(where,i=sqrt(-1) for all those n, which are

If (1+i)^(2n)+(1-i)^(2n)=-2^(n+1)(where,i=sqrt(-1) for all those n, which are

If A = [(1,1),(1,1)] , prove by induction that A^n = [(2^(n-1), 2^(n-1)), (2^(n-1), 2^(n-1))] for all natural numbers n.

(1+i)^(2 n)+(1-i)^(2 n), n in z is