Question

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

Answer 1

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))`