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Popular >

simplify e^{-t}e^{-ln(t)}

Solution

simplify

e^{- t} e^{- l n (t)}

Solution

\frac{e ^{- t}}{t}

Solution steps

e^{- t} e^{- l n (t)}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{- t} e^{- l n (t)} = e^{- t - l n (t)}

= e^{- t - l n (t)}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

= e^{- l n (t)} e^{- t}

Simplify

e^{- l n (t)} : t^{- 1}

= t^{- 1} e^{- t}

Simplify

= \frac{e ^{- t}}{t}

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Frequently Asked Questions (FAQ)

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