If `((2+2i)/(2-2i))^(n)=1` find the least positive integral of n.

If((2+2i)/(2-2i))^(n)=1, find the least positive integral nalue of n

Find the least positive integer n,if ((1+i)/(1-i))^n=1 .

Find the least positive integer n for which ((1+i)/(1-i))^n

If z = 1/2 (sqrt(3) - i) and the least positive integral value of n such that (z^(101) +i^(109))^(106) = z^(n) is k, then the value of 2/5 k is equal to

If w(ne 1) is a cube root of unity and (1+w^2)^n = (1+w^4)^n then find the least positive integral value of n

Find the least positive value of n if ((1+i)/(1-i))^n=1.

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

Find the least positive value of n it ((1+i)/(1-i))^(n)=1

If x^(n)-1 is divisible by x-k, then the least positive integral value of k is: (i) 1 (ii) 2 (iii) 3 (iv) 4

Statement -1 : The expression ((2i)/(1+i))^(n) is a positive integer for all the values of n. and Statement -2 : Here n=8 is the least positive for which the above expression is a positive integer.