(2+5w+2w²)6 = (2+2w+5w²)6 = 729
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Answer:
We know that,
1+W+W
2
=0
W
3
=1
(Properties of Cube Root of unity)
Now,
(2+5W+2W
2
)
6
=(2+2W+2W
2
+3W)
6
=(2(1+W+W
2
)+3W)
6
=(3W+0)
6
=(3W)
6
=3
6
(W
3
)
2
=3
6
∗1
2
=729
Step-by-step explanation:
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