What is e^{-3t} 5/(s^2+16) ?

The solution to e^{-3t} 5/(s^2+16) is 5/(e^{3t)(s^2+16)}

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simplify e^{-3t} 5/(s^2+16)

simplify

e^{- 3 t} \frac{5}{s ^{2} + 16}

\frac{5}{e ^{3 t} ( s ^{2} + 16 )}

Solution steps

e^{- 3 t} \frac{5}{s ^{2} + 16}

Apply exponent rule:

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

= \frac{1}{e ^{3 t}} \cdot \frac{5}{s ^{2} + 16}

Multiply fractions:

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

= \frac{1 \cdot 5}{e ^{3 t} ( s ^{2} + 16 )}

Multiply the numbers:

1 \cdot 5 = 5

= \frac{5}{e ^{3 t} ( s ^{2} + 16 )}

7 x^{5} (4 x^{4})

0.9 \cdot 1 0^{- 5}

t e^{4 t} e^{- s t}

f^{- 1} (10)

What is e^{-3t} 5/(s^2+16) ?
The solution to e^{-3t} 5/(s^2+16) is 5/(e^{3t)(s^2+16)}