What is simplify-e^{-t}*e^{-3t} ?

The solution to simplify-e^{-t}*e^{-3t} is -e^{-4t}

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simplify-e^{-t}*e^{-3t}

simplify

- e^{- t} \cdot e^{- 3 t}

- e^{- 4 t}

Solution steps

- e^{- t} e^{- 3 t}

Apply exponent rule:

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

e^{- t} e^{- 3 t} = e^{- t - 3 t}

= - e^{- t - 3 t}

Add similar elements:

- t - 3 t = - 4 t

= - e^{- 4 t}

53 (53)

\frac{e ^{(x - 1)}}{e ^{(x + 1)}} d x

((\frac{2}{16})^{7} \cdot (\frac{16}{2})^{- 5})^{\frac{1}{6}}

2 e^{- 9 (2)}

\frac{12}{400} e^{- \frac{0.01}{0.018}}

What is simplify-e^{-t}*e^{-3t} ?
The solution to simplify-e^{-t}*e^{-3t} is -e^{-4t}