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 $ .