• question_answer If w is a complex cube root of unity, then A) ${{w}^{6}}=w$                    B) ${{w}^{14}}={{w}^{2}}$      C) ${{w}^{4}}=1$                     D) None of these

[b] $\therefore {{w}^{14}}={{w}^{4\times 3+2}}={{w}^{4\times 3}}.{{w}^{2}}$ $=1.{{w}^{2}}={{w}^{2}}[\therefore {{w}^{n\times 3}}=1]$ Hence, option [b] is correct.