Solution - Verifying Option A:
[tex](6^{4})^{-5} < (6^{-7}) \times (6^{-3})\\ (6^{-20}) < (6^{-7-3} )\\ 6^{-20}< 6^{-10}[/tex]
Result: True (Option A is correct)
Solution - Verifying Option B:
[tex](6^{4})^{-5} > (6^{-7}) \times (6^{-3})\\ (6^{-20}) > (6^{-7-3} )\\ 6^{-20}> 6^{-10}[/tex]
Result: False (Option B is incorrect)
Solution - Verifying Option C:
[tex](6^{4})^{-5} = (6^{-7}) \times (6^{-3})\\ (6^{-20}) = (6^{-7-3} )\\ 6^{-20}= 6^{-10}[/tex]
Result: False (Option C is incorrect)
Option A is correct.
