simplify e^{-st}t

Solution

simplify

e^{- s t} t

\frac{t}{e ^{s t}}

Solution steps

e^{- s t} t

Apply exponent rule:

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

= \frac{1}{e ^{s t}} t

Multiply fractions:

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

= \frac{1 \cdot t}{e ^{s t}}

Multiply:

1 \cdot t = t

= \frac{t}{e ^{s t}}

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