## Understanding (7/5)^-1

In mathematics, a negative exponent indicates the reciprocal of the base raised to the positive value of the exponent. Let's break down how to solve (7/5)^-1:

**Key Concept:**

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

**Applying the Concept:**

**Reciprocal:**The reciprocal of 7/5 is 5/7.**Exponent:**Since the exponent is -1, we raise the reciprocal (5/7) to the power of 1.

**Calculation:**

(7/5)^-1 = (5/7)^1 = **5/7**

**Therefore, (7/5)^-1 is equal to 5/7.**

**Important Note:** This concept applies to any fraction or number raised to a negative exponent.