Answer:
[tex](r^{2*3/3^1^* ^ 3)[/tex]
Step-by-step explanation:
Given
[tex](r^2/3)^3[/tex]
Required
Determine the equivalent expression
[tex](r^2/3)^3[/tex]
Apply the following law of indices:
[tex](a^n)^m = a^m^n[/tex]
[tex](r^2/3)^3[/tex]
[tex](r^2/3^1)^3[/tex]
So, the expression becomes:
[tex](r^{2*3/3^1^* ^ 3)[/tex]
Option D answers the question.
