(5/6)^-1

Jasonbradley

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Jun 16, 2024

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Understanding (5/6)^-1

In mathematics, a negative exponent indicates the reciprocal of the base raised to the positive power. Therefore, (5/6)^-1 is equivalent to the reciprocal of (5/6) raised to the power of 1.

The Calculation:

1. Reciprocal: The reciprocal of a fraction is found by flipping the numerator and the denominator. Therefore, the reciprocal of (5/6) is (6/5).

2. Power of 1: Any number raised to the power of 1 equals itself. So, (6/5)^1 is simply (6/5).

Conclusion:

Therefore, (5/6)^-1 = (6/5).

This demonstrates that a negative exponent essentially flips the fraction and leaves the positive power unchanged.