To solve this question, we need to analyze each statement based on our understanding of the oxidation states, stability, and redox behavior of aluminum (\( \text{Al} \)) and thallium (\( \text{Tl} \)) ions:
Based on the analysis, the set of correct statements is (A), (B), (D), and (E).
Solution:
In this problem, we need to evaluate the stability and properties of different oxidation states of aluminum ($Al$) and thallium ($Tl$). Let's analyze each statement:
Conclusion:
Upon analyzing the statements, the correct ones are (A), (B), (D), and (E). Therefore, the correct answer is:
(A), (B), (D) and (E) only
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 ___________.