%5E-1-without-exponent.jpeg "(7/5)^-1 Without Exponent")
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.