%5E-1.jpeg "(7/5)^-1")
Understanding (7/5)^-1
In mathematics, a negative exponent indicates the reciprocal of the base raised to the positive value of the exponent. Let's break down how to solve (7/5)^-1:
Key Concept:
- x^-n = 1/x^n
Applying the Concept:
- Reciprocal: The reciprocal of 7/5 is 5/7.
- Exponent: Since the exponent is -1, we raise the reciprocal (5/7) to the power of 1.
Calculation:
(7/5)^-1 = (5/7)^1 = 5/7
Therefore, (7/5)^-1 is equal to 5/7.
Important Note: This concept applies to any fraction or number raised to a negative exponent.