(a) Find all roots of the equation: z³ + 64 = 0. Present your answer in the exact form.

(b) Show the roots in the Argand diagram.

(c) Find the midpoint in the first quadrant (if any) between two roots and show it in the Argand diagram. Present your answer in the exact form.

d) Find the real and imaginary parts of each complex root in the exact form.

e) Find the module and argument of each root.

f) Present each root in the exponential form.

g) Find the angle between each root.