Question

find the value of (1+i)(1+i^2)(1+i^3)(1+i^4){1 marks question}​

Answer 1

the answer of this question is 0.

Answer 2

(1+i )(1+i²)(1+i³)(1+i⁴)

let (1+i )(1+i³)(1+i⁴) = x

solving (1+i²)

= 1+(√-1)²

= 1-1

= 0

=> (1+i )(1+i²)(1+i³)(1+i⁴)

= (1+i )(1+i³)(1+i⁴)× (1+i²)

= x × 0

= 0