Value of $(1+i)^4\left(1+\frac{1}{i}\right)^4=$

Question

Professor PC Thomas Classes · Answer

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