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(9^6 times 7^-9)^-4 which equivalent expression
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(9^6 times 7^-9)^-4 which equivalent expression

(9^6 times 7^-9)^-4 which equivalent expression-example-1
User Tony Kiernan
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1 Answer

7 votes

Answer:

D

Explanation:


(a*b)^(x)=a^(x)*b^(x)\\\\(a^(m))^(n)=a^(m*n)\\\\a^(-m)=(1)/(a^(m))\\\\\\\\(9^(6) *7^(-9))^(-4)=(9^(6))^(-4)* (7^(-9))^(-4)\\\\=9^(6*(-4))* 7^((-9)*(-4))\\\\=9^(-24) *7{36}\\\\=(1)/(9^(24))*7^(36)\\\\=(7^(36))/(9^(24))

User Nenchev
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