What is (e^{3t})^3(s-4)/(s+10) ?

The solution to (e^{3t})^3(s-4)/(s+10) is (e^{9t}(s-4))/(s+10)

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simplify (e^{3t})^3(s-4)/(s+10)

simplify

(e^{3 t})^{3} \frac{s - 4}{s + 10}

\frac{e ^{9 t} ( s - 4 )}{s + 10}

Solution steps

(e^{3 t})^{3} \frac{s - 4}{s + 10}

(e^{3 t})^{3} : e^{9 t}

= e^{9 t} \frac{s - 4}{s + 10}

Multiply fractions:

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

= \frac{( s - 4 ) e ^{9 t}}{s + 10}

(2.1 \cdot 1 0^{- 3}) (1 - e^{- \frac{3}{4.8125 \cdot 1 0 ^{- 7}}})

(439569)^{- 67} \cdot (299792458)^{2}

t^{7} e^{- 2 l n (t)}

2.9 \cdot 1 0^{- 5}

\frac{a ^{2}}{( a ^{2} + b ^{2} ) ^{2}}

What is (e^{3t})^3(s-4)/(s+10) ?
The solution to (e^{3t})^3(s-4)/(s+10) is (e^{9t}(s-4))/(s+10)