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Popular >

simplify x^{-3}e^{ln(x)}

Solution

simplify

x^{- 3} e^{l n (x)}

Solution

\frac{1}{x ^{2}}

Solution steps

x^{- 3} e^{l n (x)}

Apply exponent rule:

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

= e^{l n (x)} \frac{1}{x ^{3}}

e^{l n (x)} = x

= \frac{1}{x ^{3}} x

Simplify

= \frac{1}{x ^{2}}

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Frequently Asked Questions (FAQ)

What is x^{-3}e^{ln(x)} ?
The solution to x^{-3}e^{ln(x)} is 1/(x^2)