Answer:
Option D)
is correct
Therefore the equivalent expression to the given expression is
![(9^2)^8=81^8](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ec9rr92po82btswbspig6j2mluqgm25550.png)
Explanation:
Given expression is
![(9^2)^8](https://img.qammunity.org/2021/formulas/mathematics/middle-school/el3zydlwgcdoy5kgtkp7qrd2kz9tbgxuag.png)
To find the equivalent expression to the given expression as below :
![(9^2)^8](https://img.qammunity.org/2021/formulas/mathematics/middle-school/el3zydlwgcdoy5kgtkp7qrd2kz9tbgxuag.png)
![(9^2)^8=(81)^8](https://img.qammunity.org/2021/formulas/mathematics/middle-school/z9vw8mhc6wuzkl0vdt37y7x9aqwn8y8g1j.png)
Therefore
![(9^2)^8=81^8](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ec9rr92po82btswbspig6j2mluqgm25550.png)
Therefore the equivalent expression to the given expression is
![(9^2)^8=81^8](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ec9rr92po82btswbspig6j2mluqgm25550.png)
Therefore option D)
is correct