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Category: Number Theory

1-i-2020-

Question Number 127979 by bobhans last updated on 03/Jan/21 (1+i)2020=? Answered by liberty last updated on 03/Jan/21 (1+i)2020=(2(12+i2))2020$$\:=\:\left(\sqrt{\mathrm{2}}\right)^{\mathrm{2020}} \:\left(\mathrm{cos}\:\left(\frac{\pi}{\mathrm{4}}\right)+\mathrm{i}\:\mathrm{sin}\:\left(\frac{\pi}{\mathrm{4}}\right)\right)^{\mathrm{2020}}…