## Understanding (5/9)^-1 without Exponents

The expression (5/9)^-1 might seem intimidating at first, especially if you're not comfortable with exponents. But it's actually quite straightforward when you break it down.

### The Power of Negative Exponents

A negative exponent essentially means "take the reciprocal". In other words:

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

This applies to any number or fraction.

### Applying the Rule to (5/9)^-1

So, to solve (5/9)^-1 without exponents:

**Take the reciprocal of the base:**The base is (5/9). The reciprocal of (5/9) is (9/5).**Therefore, (5/9)^-1 = 9/5**

### Conclusion

By understanding the concept of negative exponents, we can easily simplify expressions like (5/9)^-1 without relying on exponents. This principle applies to any fractional base raised to a negative power.