Evaluate $4{{e}^{-\mathrm{i}\frac{2\pi }{3}}}$ $2{{e}^{\mathrm{i}\pi }}$ $\sqrt{3}{{e}^{\mathrm{i}\f

Question

Evaluate $4{{e}^{-\mathrm{i}\frac{2\pi }{3}}}$ $2{{e}^{\mathrm{i}\pi }}$ $\sqrt{3}{{e}^{\mathrm{i}\frac{5\pi }{6}}}$ in the form of $x+y\mathrm{i}$ in exact form.

Accepted Answer

(i) $-2-2\sqrt3i$ (ii) $-2$ (iii) $-\frac32+\frac{\sqrt3}{2}i$

Forms of Complex Number Q4

Forms of Complex Number Q4

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