## Understanding (7/4)^-1

The expression (7/4)^-1 might look intimidating at first, but it's actually quite simple to understand. Here's a breakdown:

### Negative Exponents

A negative exponent means we take the **reciprocal** of the base raised to the **positive** value of the exponent. In simpler terms, we flip the fraction and raise it to the positive power.

### Applying the Rule

Following this rule, (7/4)^-1 becomes:

**Flip the fraction:**(4/7)**Raise to the positive power:**(4/7)^1

Since any number raised to the power of 1 is itself, the final result is simply **4/7**.

### Conclusion

Therefore, (7/4)^-1 is equivalent to **4/7**. By understanding the concept of negative exponents and applying the rule, we can easily solve this expression without relying on exponents.