Question #347818

If z=8(cos5π3+isin5π3), then z6 is equal to


Expert's answer

z6=86(cos⁡(6(5π3))+isin⁡(6(5π3)))z^6=8^6(\cos(6(\dfrac{5\pi}{3}))+i\sin(6(\dfrac{5\pi}{3})))

=262144=262144


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