## Understanding (9/7)^-1

In mathematics, a negative exponent indicates the reciprocal of the base raised to the positive version of that exponent. Let's break down what (9/7)^-1 means and how to solve it.

### Understanding the Concept

**Reciprocal:**The reciprocal of a number is 1 divided by that number. For example, the reciprocal of 2 is 1/2.**Negative Exponent:**A negative exponent means "take the reciprocal". So, x^-1 is the same as 1/x.

### Solving (9/7)^-1

**Apply the negative exponent rule:**(9/7)^-1 = 1 / (9/7)**Simplify by dividing by a fraction:**Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of (9/7) is (7/9).**Calculate:**1 / (9/7) = 1 * (7/9) =**7/9**

Therefore, (9/7)^-1 is equal to **7/9**.

### Key Points to Remember

- Any number raised to the power of -1 is equal to its reciprocal.
- When dealing with fractions raised to a negative exponent, remember to take the reciprocal of the entire fraction.

By understanding these concepts, you can easily calculate the value of any expression with a negative exponent.