## Understanding (7/5)^-1 without Exponents

The expression (7/5)^-1 might look intimidating at first, but it's actually quite simple to understand. Let's break it down step by step:

### What does a negative exponent mean?

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

**(a/b)^-n = (b/a)^n**

### Applying the rule to our problem

In our case, we have (7/5)^-1. Using the rule above, we can rewrite this as:

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

Since anything raised to the power of 1 is just itself, we can simplify this further:

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

### Conclusion

Therefore, (7/5)^-1 is equivalent to **5/7**. This demonstrates how understanding the rules of exponents can help us simplify even complex-looking expressions.