
Electron-donating groups increase the reactivity of benzene rings towards electrophilic substitution
• Reactivity is influenced by the electron density on the benzene ring:
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• Dimethylamine (\(NMe_2\)) and methoxy \((OCH_3)\) are strong electron-donating groups, en hancing reactivity.
• Alkyl groups (CH3) show moderate activating effects, while electron-withdrawing groups like trifluoromethyl (CF3) reduce reactivity.
Let \( \alpha = \dfrac{-1 + i\sqrt{3}}{2} \) and \( \beta = \dfrac{-1 - i\sqrt{3}}{2} \), where \( i = \sqrt{-1} \). 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 the value of \( m \) is ___________.