Got it! Let's solve $\left(\frac{3}{5}\right)^2 \times \left(\frac{1}{2}\right)^2$.

1. Calculate the squares of each fraction: $\left(\frac{3}{5}\right)^2 = \frac{3^2}{5^2} = \frac{9}{25}$ $\left(\frac{1}{2}\right)^2 = \frac{1^2}{2^2} = \frac{1}{4}$

2. Multiply these results: $\frac{9}{25} \times \frac{1}{4} = \frac{9 \times 1}{25 \times 4} = \frac{9}{100}$

Therefore, the value of the expression $\left(\frac{3}{5}\right)^2 \times \left(\frac{1}{2}\right)^2$ is $\frac{9}{100}$.

Would you like more details or have any questions?

Here are 5 questions you might want to ask:

1. How do you square a fraction?
2. Can you explain the rules for multiplying fractions?
3. What is the process for simplifying a fraction after multiplication?
4. How do you divide fractions?
5. What are some common mistakes to avoid when working with fractions?

Tip: Always simplify fractions if possible to make calculations easier and results clearer.