## Understanding (9/5)^-1

The expression (9/5)^-1 might seem intimidating at first glance, but it's actually quite simple to understand. Here's a breakdown of what it means and how to calculate it:

### Negative Exponents

The key lies in the **negative exponent**. In mathematics, a negative exponent indicates the reciprocal of the base raised to the positive version of the exponent. In other words:

**x^-n = 1/x^n**

### Applying the Concept

In our case, (9/5)^-1 is equivalent to:

**(9/5)^-1 = 1 / (9/5)^1**

Since any number raised to the power of 1 is itself, we have:

**(9/5)^-1 = 1 / (9/5)**

To divide by a fraction, we flip the fraction and multiply:

**(9/5)^-1 = 1 * (5/9)**

Therefore, **(9/5)^-1 = 5/9**.

### In Conclusion

The expression (9/5)^-1 represents the **reciprocal** of the fraction 9/5. This is a fundamental concept in mathematics, and understanding it can help you work with exponents and fractions more effectively.