What is e^{-3t}(2/5 e^{-2t}) ?

The solution to e^{-3t}(2/5 e^{-2t}) is 2/5 e^{-5t}

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simplify e^{-3t}(2/5 e^{-2t})

simplify

e^{- 3 t} (\frac{2}{5} e^{- 2 t})

\frac{2}{5} e^{- 5 t}

Solution steps

e^{- 3 t} (\frac{2}{5} e^{- 2 t})

Apply exponent rule:

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

e^{- 3 t} e^{- 2 t} = e^{- 3 t - 2 t}

= \frac{2}{5} e^{- 3 t - 2 t}

Add similar elements:

- 3 t - 2 t = - 5 t

= \frac{2}{5} e^{- 5 t}

2.29 \cdot 1 0^{- 6}

\frac{e ^{- 0.05 t}}{e ^{0.2}}

(x^{2} y^{4}) (x y^{3})

(\frac{9}{2} c) (8 c^{5})

What is e^{-3t}(2/5 e^{-2t}) ?
The solution to e^{-3t}(2/5 e^{-2t}) is 2/5 e^{-5t}