(9/8)^-2

Jasonbradley

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Jun 16, 2024

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Understanding (9/8)^-2

In mathematics, a negative exponent indicates the reciprocal of the base raised to the positive version of the exponent. This means:

(9/8)^-2 = 1 / (9/8)^2

Let's break down the calculation:

Step 1: Calculate (9/8)^2

(9/8)^2 = (9/8) * (9/8) = 81/64

Step 2: Find the reciprocal of the result

1 / (81/64) = 64/81

Conclusion

Therefore, (9/8)^-2 = 64/81.

Remember that any number raised to a negative exponent is equivalent to its reciprocal raised to the positive version of that exponent.