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

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

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

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

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

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

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.

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.