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Popular >

simplify e^{-st}(t-3)

Solution

simplify

e^{- s t} (t - 3)

Solution

\frac{t - 3}{e ^{s t}}

Solution steps

e^{- s t} (t - 3)

Apply exponent rule:

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

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

Multiply fractions:

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

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

1 \cdot (t - 3) = t - 3

= \frac{t - 3}{e ^{s t}}

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Frequently Asked Questions (FAQ)

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