Question

State whether the following statement is true or false.

${(1-i)}^n{(1-\frac{1}{i})}^n=2^n$

• A. True
• B. False

Answer 1

The correct option is A True

Given:

${(1-i)}^n{(1-\frac{1}{i})}^n=(1-i{)}^n(1+i{)}^n=\left[\right(1-i\left)\right(1+i){]}^n=[1-\left(1\right){]}^n=2^n$

So given statement is true.