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Popular >

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

Solution

simplify

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

Solution

\frac{1}{x ^{\frac{a}{b}}}

Solution steps

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

Apply exponent rule:

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

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

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

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

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Frequently Asked Questions (FAQ)

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