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Popular >

simplify e^{-(s-2)t}e^{5t}

Solution

simplify

e^{- (s - 2) t} e^{5 t}

Solution

e^{7 t - s t}

Solution steps

e^{- (s - 2) t} e^{5 t}

Apply exponent rule:

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

e^{- (s - 2) t} e^{5 t} = e^{- t (s - 2) + 5 t}

= e^{- (s - 2) t + 5 t}

Expand

- (s - 2) t + 5 t : - s t + 7 t

= e^{- s t + 7 t}

= e^{7 t - s t}

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Frequently Asked Questions (FAQ)

What is e^{-(s-2)t}e^{5t} ?
The solution to e^{-(s-2)t}e^{5t} is e^{7t-st}