What is simplify-1/(s-3)e^{-(s-3)t} ?

The solution to simplify-1/(s-3)e^{-(s-3)t} is -1/(e^{t(s-3))(s-3)}

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simplify-1/(s-3)e^{-(s-3)t}

simplify

- \frac{1}{s - 3} e^{- (s - 3) t}

- \frac{1}{e ^{t (s - 3)} ( s - 3 )}

Solution steps

- \frac{1}{s - 3} e^{- (s - 3) t}

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 1 = 1

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

(x^{2} + 2) (x^{2} - 2)

- \frac{2}{3} \cdot \frac{3}{3}

(1 + e^{- 2 x})^{- \frac{1}{2}}

2.3 \times 1 0^{- 8}

3 (7)^{2}

What is simplify-1/(s-3)e^{-(s-3)t} ?
The solution to simplify-1/(s-3)e^{-(s-3)t} is -1/(e^{t(s-3))(s-3)}