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Simplify the following expression. \[ \left(-\frac{1}{11}\right)^{-1} \]

Ask by Bowers Carrillo. in the United States
Jan 27,2025

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Answer

The expression simplifies to \(-11\).

Solution

Calculate or simplify the expression \( (-\frac{1}{11})^{-1} \). Calculate the value by following steps: - step0: Calculate: \(\left(-\frac{1}{11}\right)^{-1}\) - step1: Transform the expression: \(-11\)

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Mind Expander

To simplify the expression \(\left(-\frac{1}{11}\right)^{-1}\), we use the property of exponents that states \(a^{-1} = \frac{1}{a}\). Therefore, we can rewrite the expression as: \[ \left(-\frac{1}{11}\right)^{-1} = \frac{1}{-\frac{1}{11}} \] Now, to divide by a fraction, we multiply by its reciprocal: \[ \frac{1}{-\frac{1}{11}} = 1 \cdot \left(-11\right) = -11 \] Thus, the simplified expression is: \[ \boxed{-11} \]

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