The image shows the expression:

$\left(\frac{5}{3}\right)^{-2}$

To solve this, we follow these steps:

1. The negative exponent rule states that $a^{-n} = \frac{1}{a^n}$.
2. Apply this rule to the expression:

$\left(\frac{5}{3}\right)^{-2} = \frac{1}{\left(\frac{5}{3}\right)^2}$

3. Now, square the fraction:

$\left(\frac{5}{3}\right)^2 = \frac{5^2}{3^2} = \frac{25}{9}$

4. So the expression becomes:

$\frac{1}{\frac{25}{9}} = \frac{9}{25}$

Thus, the value of $\left(\frac{5}{3}\right)^{-2} = \frac{9}{25}$.

Would you like more details or clarification on any part of this process?

Here are five related questions:

1. How do you simplify expressions with negative exponents?
2. What happens when both the numerator and denominator of a fraction have negative exponents?
3. How can you verify your answer when simplifying fractions with exponents?
4. What are some applications of exponent rules in real-world problems?
5. How do exponents impact the behavior of functions?

Tip: Always check if a fraction can be simplified after applying exponent rules!