## Understanding (9/5)^-2 without Exponents

The expression (9/5)^-2 might seem intimidating at first glance, but it can be simplified without using exponents. Let's break it down step by step:

### The Power of Negative Exponents

A negative exponent indicates the reciprocal of the base raised to the positive value of the exponent. In other words:

**(a/b)^-n = (b/a)^n**

Applying this to our problem, we get:

**(9/5)^-2 = (5/9)^2**

### Simplifying the Expression

Now we have a much simpler expression: (5/9)^2. This means we need to multiply (5/9) by itself:

**(5/9)^2 = (5/9) * (5/9)**

To multiply fractions, we multiply the numerators and the denominators:

**(5/9) * (5/9) = (5 * 5) / (9 * 9)**

Finally, we simplify:

**(5 * 5) / (9 * 9) = 25/81**

### Conclusion

Therefore, (9/5)^-2 is equivalent to **25/81** without using exponents. This demonstrates how understanding the rules of exponents can help simplify complex expressions.