Precalculus Examples

$\frac{e^{a t}}{a} \cdot (- \frac{e^{- s t}}{s})$

Step 1

Rewrite using the commutative property of multiplication.

$- \frac{e^{a t}}{a} \cdot \frac{e^{- s t}}{s}$

Step 2

Multiply $- \frac{e^{a t}}{a} \cdot \frac{e^{- s t}}{s}$ .

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Step 2.1

Multiply $\frac{e^{- s t}}{s}$ by $\frac{e^{a t}}{a}$ .

$- \frac{e^{- s t} e^{a t}}{s a}$

Step 2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$- \frac{e^{- s t + a t}}{s a}$