Respuesta :

Answer:

Option D

Step-by-step explanation:

Given expression is,

[tex](8^{4}\times 9^{8})^5[/tex]

Further solving the given expression,

[tex](8^{4}\times 9^{8})^5=(8^4)^5\times (9^8)^5[/tex]

               [tex]=(8)^{4\times 5}\times (9)^{8\times 5}[/tex] [Since, [tex](a^x)^y=a^{xy}[/tex]]

               [tex]=8^{20}\times 9^{40}[/tex]

               [tex]=8^{20}.9^{40}[/tex]

Therefore, Option D will be the correct option.