What is e^3*((e^{-(3+jw)t})) ?

The solution to e^3*((e^{-(3+jw)t})) is e^{-t(jw+3)+3}

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simplify e^3*((e^{-(3+jw)t}))

simplify

e^{3} \cdot ((e^{- (3 + j w) t}))

e^{- t (j w + 3) + 3}

Solution steps

e^{3} ((e^{- (3 + j w) t}))

Apply exponent rule:

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

e^{3} e^{- (3 + j w) t} = e^{3 - t (j w + 3)}

= e^{3 - (3 + j w) t}

e^{l n (x)} \cdot e^{x}

\frac{x ^{3}}{( x ^{2} + n ) ^{3}}

e^{8 x} \cdot e^{8 x}

25400 (1 + 0.235)^{- \frac{84}{360}}

e^{- 2 x} (- 6 e^{x})

What is e^3*((e^{-(3+jw)t})) ?
The solution to e^3*((e^{-(3+jw)t})) is e^{-t(jw+3)+3}