Answer
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Step 1:I'll solve this step by step using the specified LaTeX formatting guidelines:
Step 2:: Understand the problem
The problem asks us to express $$6^{-1}$$ as a fraction.
Step 3:: Recall the rule for negative exponents
6^{-1} = \frac{1}{6^{1}} = \frac{1}{6}
When a number has a negative exponent, it means the reciprocal of the number raised to the positive exponent. Mathematically, this can be expressed as:
Step 4:: Simplify
The fraction $$\frac{1}{6}$$ is already in its simplest form.
Final Answer
Key Insights: - A negative exponent means "take the reciprocal" - 6^{- 1} is equivalent to \frac{1}{6} - This works for any non-zero base number
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