What is e^{-st}*e^{-13/10 t} ?

The solution to e^{-st}*e^{-13/10 t} is e^{-st-(13t)/(10)}

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simplify e^{-st}*e^{-13/10 t}

simplify

e^{- s t} \cdot e^{- \frac{13}{10} t}

e^{- s t - \frac{13 t}{10}}

Solution steps

e^{- s t} e^{- \frac{13}{10} t}

Apply exponent rule:

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

e^{- s t} e^{- \frac{13}{10} t} = e^{- s t - \frac{13}{10} t}

= e^{- s t - \frac{13}{10} t}

Multiply

\frac{13}{10} t : \frac{13 t}{10}

= e^{- s t - \frac{13 t}{10}}

7555 1 + 53

e^{- \frac{200}{1000}}

e^{(- 0.57)}

\frac{( 36 p ) ^{- 0.5}}{36} p^{- 1.5}

\frac{1}{4} \cdot 0. 5^{2} + 0. 5^{2} + 0. 5^{2} + 0. 5^{2}

What is e^{-st}*e^{-13/10 t} ?
The solution to e^{-st}*e^{-13/10 t} is e^{-st-(13t)/(10)}