## Understanding (9/4)^-1

The expression (9/4)^-1 might seem intimidating at first, but it's actually quite simple to solve. Let's break down the concepts involved:

**Understanding Negative Exponents**

A negative exponent indicates the reciprocal of the base raised to the positive version of the exponent. In simpler terms:

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

**Applying the Rule to (9/4)^-1**

Using the rule above, we can rewrite (9/4)^-1 as:

**(9/4)^-1 = 1 / (9/4)^1**

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

**1 / (9/4)^1 = 1 / (9/4)**

**Dividing by a Fraction**

Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of 9/4 is 4/9. Therefore:

**1 / (9/4) = 1 * (4/9) = 4/9**

**Conclusion**

Therefore, (9/4)^-1 is equal to **4/9**.