What is e^{-4s}3u(t-4) ?

The solution to e^{-4s}3u(t-4) is (3u(t-4))/(e^{4s)}

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simplify e^{-4s}3u(t-4)

simplify

e^{- 4 s} 3 u (t - 4)

\frac{3 u ( t - 4 )}{e ^{4 s}}

Solution steps

e^{- 4 s} \cdot 3 u (t - 4)

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= 3 \cdot \frac{1}{e ^{4 s}} u (t - 4)

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 3 u ( t - 4 )}{e ^{4 s}}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{3 u ( t - 4 )}{e ^{4 s}}

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