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rewrite the following without an exponent. (-6)^{-1} your answer $\frac…

Question

rewrite the following without an exponent. (-6)^{-1} your answer $\frac{1}{-6}$

Explanation:

Step1: Apply negative - exponent rule

For any non - zero number \(a\), \(a^{-n}=\frac{1}{a^{n}}\). Here \(a = - 6\) and \(n = 1\), so \((-6)^{-1}=\frac{1}{(-6)^{1}}\).

Step2: Simplify the expression

Since \((-6)^{1}=-6\), then \(\frac{1}{(-6)^{1}}=\frac{1}{-6}\).

Answer:

\(\frac{1}{-6}\)