Question
Question 15 Rewrite the following without an exponent. \[ (-9)^{-1} \] \( \square \)
Ask by Vaughn Warren. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The answer is -1/9.
Solution
To rewrite (-9)^(-1) without an exponent, remember that a negative exponent indicates the reciprocal of the base. In other words, a^(-1) = 1/a.
So for (-9)^(-1), we have:
1/(-9)
This can also be written as:
-1/9
Thus, the answer is -1/9.
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Simplify this solution Mind Expander
To rewrite \((-9)^{-1}\) without an exponent, you use the property that raising a number to the power of \(-1\) is equivalent to taking the reciprocal of that number. Therefore, \((-9)^{-1}\) is simply \(\frac{1}{-9}\), or \(-\frac{1}{9}\) when expressed in a more conventional notation. So, you can confidently write: \(-\frac{1}{9}\).
