Question

The value of w12 is

A. 1

B. w

C. w2

D. 0​

Answer 1

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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