Question

Evaluate (2/3)^2(2/5)^3

Answer 1

Look at the image, the two arrows on the side are just solving part of the equation before it is plugged into the whole equation, part 3.

Answer 2

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.