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Popular >

simplify e^{-(s-2)t}(e^{-3t})

Solution

simplify

e^{- (s - 2) t} (e^{- 3 t})

Solution

e^{- s t - t}

Solution steps

e^{- (s - 2) t} (e^{- 3 t})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{- (s - 2) t} e^{- 3 t} = e^{- t (s - 2) - 3 t}

= e^{- (s - 2) t - 3 t}

Expand

- (s - 2) t - 3 t : - s t - t

= e^{- s t - t}

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Frequently Asked Questions (FAQ)

What is e^{-(s-2)t}(e^{-3t}) ?
The solution to e^{-(s-2)t}(e^{-3t}) is e^{-st-t}