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help please..... I cant find the answe​

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Sagot :

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]

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