What is e^{-st}(e^{-t}cos(4t)) ?

The solution to e^{-st}(e^{-t}cos(4t)) is e^{-st-t}cos(4t)

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simplify e^{-st}(e^{-t}cos(4t))

simplify

e^{- s t} (e^{- t} cos (4 t))

e^{- s t - t} cos (4 t)

Solution steps

e^{- s t} (e^{- t} cos (4 t))

Apply exponent rule:

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

e^{- s t} e^{- t} = e^{- s t - t}

= e^{- s t - t} cos (4 t)

x + 7 \cdot x - 4

0.876 \cdot 1 0^{- 6}

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

e^{x} e^{- 5 x}

0.2 5^{1 - a}

What is e^{-st}(e^{-t}cos(4t)) ?
The solution to e^{-st}(e^{-t}cos(4t)) is e^{-st-t}cos(4t)