Simplify e^(-ln 6) Answer:

Use Inverse Property: We know that e^(ln x) = x for any x, because the exponential function e^x and the natural logarithm ln(x) are inverse functions. Therefore, e^(-ln x) = 1/(e^(ln x)) = 1/x.Apply Property to Expression: Now, apply this property to our expression: e^(-ln 6) = 1/(e^(ln 6)).Simplify Expression: Using the property from step 1, we simplify e^(ln 6) to just 6: e^(-ln 6) = 1/6.

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Simplify $e^{-\ln 6}$ $\newline$ Answer:

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Algebra 2

Simplify variable expressions using properties

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Q. Simplify

e^{-\ln 6}

\newline

Answer:

Use Inverse Property: We know that $e^{(\ln x)} = x$ for any $x$ , because the exponential function $e^x$ and the natural logarithm $\ln(x)$ are inverse functions. Therefore, $e^{(-\ln x)} = \frac{1}{(e^{(\ln x)})} = \frac{1}{x}.$
Apply Property to Expression: Now, apply this property to our expression: $e^{-\ln 6} = \frac{1}{e^{\ln 6}}$ .
Simplify Expression: Using the property from step $1$ , we simplify $e^{\ln 6}$ to just $6$ : $e^{-\ln 6} = \frac{1}{6}$ .