Q4 (a) Simplify each of the following complex numbers, expressing your answers in Cartesian form: (i) (7-i)(2+3i) (ii) i / 2+i (b) Using de Moivre's Theorem, and without using a calculator, show that (1 - i)^1066 = -(2^k)i, where k is a positive integer to be stated. (c) Find the cube roots of 4i, expressing your answers in the form z = 2^p e^qi, where p and q are rational numbers to be stated, with -1 <q≤1.

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