Answer to Question #347965 in Complex Analysis for Busi

Question #347965

If z="8(\\cos \\frac{5\\pi}{3}+i\\sin \\frac{5\\pi}{3})", then z6 is equal to


1
Expert's answer
2022-06-06T16:53:20-0400
"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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