(7/5)^-1

Jasonbradley

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Jun 16, 2024

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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:

1. Reciprocal: The reciprocal of 7/5 is 5/7.
2. 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.