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Question Number 152672 by liberty last updated on 31/Aug/21

Answered by Dandelion last updated on 31/Aug/21

$$\mathrm{this}\mathrm{is}\mathrm{easy}\mathrm{Sir}$$$$={\left({\mathrm{e}}^{\mathrm{i}\pi /4}\right)}^{30}={\mathrm{e}}^{15\mathrm{i}\pi /2}={\mathrm{e}}^{\mathrm{i}(3\times 2\pi +\pi +\pi /2)}={\mathrm{e}}^{3\mathrm{i}\pi /2}=-\mathrm{i}$$

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