Respuesta :

Answer:

I think it's A. [tex](6^{4})^{-5} <(6^{-7}*(6^{-3})[/tex]

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.

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