The equation z^3=w has a root 3(cos30°+i sin 30°), find w.

W = z³, since one root z₁ is 3(cos30+isin30)

w is z₁³ = (3(cos30+isin30))³ = 3³(cos(30*3)+isin(30*3)) (arguments are in degrees)

w= 27(cos(90)+isin(90)) = 27i