https://file.aiquickdraw.com/mathbot/file/1727108311262i9ut6t92.jpg

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!

Learn how to solve the expression (5/3)^-2 step-by-step. This problem covers key exponent rules, including the negative exponent rule and how to square fractions. Suitable for students in Grades 7-9.

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