%5E-1.jpeg "(8/7)^-1")
Understanding (8/7)^-1
The expression (8/7)^-1 might look intimidating at first, but it's actually quite simple to understand. Let's break it down:
Negative Exponents
A negative exponent indicates the reciprocal of the base raised to the positive version of the exponent. In simpler terms, it means we flip the fraction and remove the negative sign from the exponent.
Applying the Rule
In our case, we have (8/7)^-1. Following the rule of negative exponents, we get:
(8/7)^-1 = (7/8)^1
Since any number raised to the power of 1 is itself, we can simplify further:
(7/8)^1 = 7/8
Conclusion
Therefore, (8/7)^-1 is equivalent to 7/8. Remember, negative exponents simply mean taking the reciprocal of the base raised to the positive version of the exponent.