What is l(t^3e^{-2t}sinh(4t)) ?

The solution to l(t^3e^{-2t}sinh(4t)) is (lt^3sinh(4t))/(e^{2t)}

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simplify l(t^3e^{-2t}sinh(4t))

simplify

l (t^{3} e^{- 2 t} sinh (4 t))

\frac{l t ^{3} sinh ( 4 t )}{e ^{2 t}}

Solution steps

l (t^{3} e^{- 2 t} sinh (4 t))

Apply exponent rule:

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

= l \frac{1}{e ^{2 t}} t^{3} sinh (4 t)

Multiply fractions:

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

= \frac{1 \cdot l t ^{3} sinh ( 4 t )}{e ^{2 t}}

Multiply:

1 \cdot l = l

= \frac{l t ^{3} sinh ( 4 t )}{e ^{2 t}}

9.25 \cdot 1 0^{- 4}

\frac{1}{2 2 π} e^{- \frac{1}{2} (\frac{27 - 29.4}{2})^{2}}

1 e^{- 0.1 \cdot \frac{1}{12}}

[(2^{3})^{4}]^{2}

What is l(t^3e^{-2t}sinh(4t)) ?
The solution to l(t^3e^{-2t}sinh(4t)) is (lt^3sinh(4t))/(e^{2t)}