Question

prove that (1- i)^4 (1-1/i)^4=16

Answer 1

Answer:

LHS,

$(1 - i) {}^{4} \times (1 - \frac{1}{i} ) {}^{4} = (1 - i) {}^{4} \times (1 + i) {}^{4} = ((1 - i)(1 + i)) {}^{4} = (1 - {i}^{2} ) {}^{4} = {2}^{4} = 16$

RHS. Proved