Question

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

Answer 1

Answer:

D

Step-by-step explanation:

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