Question

What is `(1+i)^6` ?

Answer 1

`(1+i)^6 = -8i`

Explanation:

`(1+i)^2 = 1+2i+i^2 = 2i`

`(2i)^3 = 2^3*i^2*i = -8i`

So:

`(1+i)^6 = ((1+i)^2)^3 = -8i`