Question

For a positive integer n, find the value of (1-i)^n * (1-1/i)^n

Answer 1

If your question is $(1+i)^{n}$*$(1- \frac{1}{i}) ^{n}$ , then 
1/i can be written as -i
Above product reduces to $(1+i)^{n}$*$(1-i) ^{n}$
which can be written as $( 1^{2} - i^{2} ) ^{n}$ = $2^{n}$

Answer 2

Answer: The answer will be 2^n. (Keep in mind that 1/i=(-i) and (a+b)(a-b)=a^2-b^2