
- Transistors (A) use a battery with an anode of Zn/Hg and a cathode of HgO + C.
- Hearing aids (B) use a battery with an anode of Zn and a cathode of Carbon.
- Inverters (C) use a hydrogen fuel cell as the energy source.
- Apollo space ship (D) uses a battery with an anode of Pb and a cathode of PbO\(_2\).
Therefore, the correct matching is \( \boxed{(A)-(III), (B)-(I), (C)-(IV), (D)-(II)} \).


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 ___________.