1)

Ifω=1+3i2 then (3+ω+ω2)4 is


A) 16

B) -16

C) 16ω

D) 16ω2

Answer:

Option C

Explanation:

Let ω=1+3i2

Now, 1+ ω + ω2 = 0 and  ω3= 1

then(3+ω+ω2)4 

= (3+ω+3ω2+2ω-2ω)4 =(3+3ω+3ω2-2ω)4

= [3(1+2+ω2)-2ω]4 = (0-2ω)4 = 16ω4 = 16ω (ω3 = 1 )