If \[\omega \] is a complex cube root of unity, then \[(1+\omega )(1+{{\omega }^{2}})\] \[(1+{{\omega }^{4}})(1+{{\omega }^{8}})...\]to \[2n\] factors = [AMU 2000]

If \[\omega \] is a complex cube root of unity, then \[(1+\omega )(1

1.	If \[\omega \] is a complex cube root of unity, then \[(1+\omega )(1+{{\omega }^{2}})\] \[(1+{{\omega }^{4}})(1+{{\omega }^{8}})...\]to \[2n\] factors = [AMU 2000]
A.	0
B.	1
C.	\[-1\]
D.	None of these
Answer» C. \[-1\]

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If \[\omega \] is a complex cube root of unity, then \[(1+\omega )(1+{{\omega }^{2}})\] \[(1+{{\omega }^{4}})(1+{{\omega }^{8}})...\]to \[2n\] factors = [AMU 2000]

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