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Popular >

simplify e^{-(ln(x))/x}

Solution

simplify

e^{- \frac{l n ( x )}{x}}

Solution

\frac{1}{x ^{\frac{1}{x}}}

Solution steps

e^{- \frac{l n ( x )}{x}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{\frac{l n ( x )}{x}}}

e^{\frac{l n ( x )}{x}} = x^{\frac{1}{x}}

= \frac{1}{x ^{\frac{1}{x}}}

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Frequently Asked Questions (FAQ)

What is e^{-(ln(x))/x} ?
The solution to e^{-(ln(x))/x} is 1/(x^{1/x)}