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help pls

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Let $z = 2 e^{10 \pi i/21}$ and $w = e^{\pi i/7}$. Then what is $|(z+w)^6|,$the magnitude of $(z+w)^6$?

Jan 11, 2019

#1
+27673
+4

As follows:

(Can't help feeling there's probably a simpler way!)

Jan 11, 2019
#2
+27673
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Here's a simpler way!

.

Alan  Jan 11, 2019
#3
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Better method Alan, but you've still missed the 2 at the front of z.

Jan 11, 2019
#4
+27673
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You are right!  But I'll leave it to someone else to include that!

Alan  Jan 11, 2019