Jee Main
Complex Numbers
JEE Main 2026 (Online) 22nd January Morning Shift
INTEGER+4 / -12026
Let $\alpha=\frac{-1+i \sqrt{3}}{2}$ and $\beta=\frac{-1-i \sqrt{3}}{2}, i=\sqrt{-1}$. 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 $\_\_\_\_$
