%5E-1-without-exponents.jpeg "(8/7)^-1 Without Exponents")
Understanding (8/7)^-1 Without Exponents
The expression (8/7)^-1 might seem intimidating at first, but it's actually quite straightforward to understand. Let's break it down:
Negative Exponents
A negative exponent indicates 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
In our case, (8/7)^-1 can be rewritten as:
- Flip the fraction: (7/8)
- Raise to the positive power: (7/8)^1
Since any number raised to the power of 1 is itself, our final answer is simply 7/8.
In Conclusion
Therefore, (8/7)^-1, without exponents, is equivalent to 7/8. This demonstrates how negative exponents work and how we can manipulate expressions to remove them.