Let \alpha= {-1+i \sqrt{3}}/{2} and \beta= {-1-i \sqrt{3}}/{2}, i=\sqrt{-1}. If (7-7 \alpha+9 \beta)^{20}+(9+7 \alpha-7 \beta)^{20}+(-7+9 \alpha+7 \beta)^{20}+(14+7 \alpha+7 \beta)^{20}=m^{10}, then m is \_\_\_\_ [22 Jan 2026 Shift 1]

Complex Numbers Part 2

Section: Mathematics

Question : 8 of 97

Marks: +1, -0

Let α=‌

−1+i√3

and β=‌

−1−i√3

,i=√−1. If (7−7α+9β)20+(9+7α−7β)20+(−7+9α+7β)20+(14+7α+7β)20=m10, then m is ____

[22 Jan 2026 Shift 1]

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