Complex numbers z/w^3 in the form a + bi - THANK YOU!?

Question

Please help me and explain the steps you use. THANKSSS!

evaluate z/w^3 in the form a + bi when the following conditions apply:

z= sqrt(3) + i
w= 1 + sqrt(3)i

Answer 1

w = 1 + i√3
w^3 = 1 + 3(i√3) + 3(i√3)² + (i√3)^3
w^3 = 1 + 3i√3 - 9 - 3i√3
w^3 = -8

z/w^3 = (√3 + i) / -8 = -(√3)/8 - i/8