Answer to Question #349055 in Complex Analysis for Mapula Advice

Question #349055

If z=8(cos5π/3+isin5π/3), then z6 is equal to


1
Expert's answer
2022-06-12T14:55:03-0400
"z^6=8^6\\big(\\cos(6(\\dfrac{5\\pi}{3}))+i\\sin(6(\\dfrac{5\\pi}{3}))\\big)""=262144\\big(\\cos(10\\pi)+i\\sin(10\\pi)\\big)=262144"

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