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If $ω (\neq 1)$ is a complex cube root of unity and ${(1 + ω^{4})}^{n} = {(1 + ω^{8})}^{n}$ then the least positive integral value of $n$ is

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Correct option is B

As ω4=ω,ω8=ω2 we get (1+ω)n=1+ω2n⇒ −ω2n=(−ω)n⇒ ωn=1∴ n=3

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If ω(≠1) is a complex cube root of unity and 1+ω4n=1+ω8n then the least positive integral value of n is

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If $ω (\neq 1)$ is a complex cube root of unity and ${(1 + ω^{4})}^{n} = {(1 + ω^{8})}^{n}$ then the least positive integral value of $n$ is