Answer:
32/1125
Step-by-step explanation:
Here, the student's question is requiring us to evaluate the given expression: (2/3)^2(2/5)^3. The first step is to individually evaluate the exponentials inside the parentheses.
For (2/3)^2, it means 2/3 is multiplied by itself, which results in 4/9. Simultaneously, (2/5)^3 means 2/5 is multiplied by itself thrice, rendering 8/125. The next step is to perform the multiplication of these two results. That amounts to (4/9) * (8/125) = 32/1125.
Therefore, the answer to the given math problem is 32/1125.