Answer:
[tex]6^{30}[/tex]
Step-by-step explanation:
Using the rules of exponents
[tex](a^m)^{n}[/tex] ⇔ [tex]a^{mn}[/tex]
[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex]
Given
[tex]\frac{(6^-4)^{-9} }{6^6}[/tex]
= [tex]\frac{6^{36} }{6^{6} }[/tex]
= [tex]6^{(36-6)}[/tex]
= [tex]6^{30}[/tex]
