## Understanding (7/8)^-1 without Exponents

The expression (7/8)^-1 might seem intimidating at first glance, but it's actually quite simple to understand. Let's break it down:

### The Power of Negatives

A negative exponent essentially means taking the **reciprocal** of the base. In other words, we flip the fraction. So:

**(7/8)^-1 = 1 / (7/8)**

### Simplifying the Expression

Now we have a fraction divided by another fraction. To simplify this, we multiply the first fraction by the reciprocal of the second fraction:

**1 / (7/8) = 1 * (8/7)**

### Final Result

Finally, we multiply the numerators and denominators to get our answer:

**1 * (8/7) = 8/7**

Therefore, **(7/8)^-1 is equivalent to 8/7**.

### Key Takeaways

- A negative exponent indicates taking the reciprocal of the base.
- To simplify a fraction divided by a fraction, we multiply the first fraction by the reciprocal of the second fraction.

By understanding these principles, you can easily solve expressions involving negative exponents without relying on complex calculations.