Question

the smallest positive integer n for which (1+i/1-i)power n =1 is a)1 b)-1 c)4 d) -4​

Answer 1

Answer:

b)-1

Step-by-step explanation:

I t is because the -1 comes in negative form.

Answer 2

Answer:

n^[(1+i)/(1-i)]

=n^[(1+i)²(1²- i²)] [multiplying up and down by {1+i}]

=n^[1+i²+2i/1-(-1)]

=n^[2i/2]

=n^i

=1 [index rule : 1^a=1]