Complex Numbers And Quadratic Equations question 389

Question: The value of $ {{(1+i)}^{5}}\times {{(1-i)}^{5}} $ is [Karnataka CET 1992]

Options:

A) - 8

B) $ 8i $

C) 8

D) 32

Show Answer

Answer:

Correct Answer: D

Solution:

$ {{(1+i)}^{5}}{{(1-i)}^{5}}={{(1-i^{2})}^{5}}=2^{5}=32 $ .