What is (2s-3)/((s+3)^s)e^{-8s} ?

The solution to (2s-3)/((s+3)^s)e^{-8s} is (2s-3)/(e^{8s)(s+3)^s}

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simplify (2s-3)/((s+3)^s)e^{-8s}

simplify

\frac{2 s - 3}{( s + 3 ) ^{s}} e^{- 8 s}

\frac{2 s - 3}{e ^{8 s} ( s + 3 ) ^{s}}

Solution steps

\frac{2 s - 3}{( s + 3 ) ^{s}} e^{- 8 s}

Apply exponent rule:

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

= \frac{2 s - 3}{( s + 3 ) ^{s}} \cdot \frac{1}{e ^{8 s}}

Multiply fractions:

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

= \frac{( 2 s - 3 ) \cdot 1}{( s + 3 ) ^{s} e ^{8 s}}

(2 s - 3) \cdot 1 = 2 s - 3

= \frac{2 s - 3}{e ^{8 s} ( s + 3 ) ^{s}}

x e^{x}

(7^{l o g_{7} (π)})^{9.3}

- 8 y^{5} (x y^{3})

\frac{19}{13} \cdot \frac{13}{13}

What is (2s-3)/((s+3)^s)e^{-8s} ?
The solution to (2s-3)/((s+3)^s)e^{-8s} is (2s-3)/(e^{8s)(s+3)^s}