The value of w12 is
A. 1
B. w
C. w2
D. 0
Answers
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Given : ω¹²
To Find : Value of ω¹²
A. 1
B. ω
C. ω²
D. 0
Solution:
1 , ω and ω² are cube root of unity
1 + ω + ω² = 0
1. ω. ω² = 1
=> ω³ = 1
ω¹²
= ω³ˣ⁴
xᵃᵇ = (xᵃ)ᵇ
= (ω³)⁴
= 1⁴
= 1
=> ω¹² = 1
Value of ω¹² is 1
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