Question Number 14147 by RasheedSindhi last updated on 28/May/17
$$\mathrm{Determine}: \\ $$$$\left({a}\right)\:\mathrm{e}^{\omega} \\ $$$$\left({b}\right)\:\omega^{\mathrm{e}} \\ $$
Commented by prakash jain last updated on 28/May/17
$${e}^{{w}} ={e}^{\mathrm{cos}\:\frac{\mathrm{2}\pi}{\mathrm{3}}+{i}\mathrm{sin}\:\frac{\mathrm{2}\pi}{\mathrm{3}}} \\ $$$$={e}^{\mathrm{1}/\mathrm{2}} \left(\mathrm{cos}\:\left(\sqrt{\mathrm{3}}/\mathrm{2}\right)+{i}\mathrm{sin}\:\left(\sqrt{\mathrm{3}}/\mathrm{2}\right)\right) \\ $$