Complex numbers

Alright this is urgent. Been trying to solve this for some time but couldnt. Please do show the any step by step method to solving this.

Write down the roots for the equation z^3 = 1 in the form re^i(theta) -> euler form

Find in euler form all the complex numbers z such that z^3 = (5+i)/(2+3i)

Find the exact values of w such that ((1+iw)/(1-iw))^3 = 1, giving your answer in the form a + ib.

Need help in the highlighted, bold part. Will appreciate any help i can get by monday morning! Thank you.

Hi,

1. (1 + iw) / (1 - iw) = 1, e^i(2pi/3) or e^i(-2pi/3).

2. Express each root in cartesian form.

3. For each root, make w the subject.

Thanks.

Cheers,
Wen Shih