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Popular >

simplify e^{-5t}e^{4t}

Solution

simplify

e^{- 5 t} e^{4 t}

Solution

e^{- t}

Solution steps

e^{- 5 t} e^{4 t}

Apply exponent rule:

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

e^{- 5 t} e^{4 t} = e^{- 5 t + 4 t}

= e^{- 5 t + 4 t}

Add similar elements:

- 5 t + 4 t = - t

= e^{- t}

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Frequently Asked Questions (FAQ)

What is e^{-5t}e^{4t} ?
The solution to e^{-5t}e^{4t} is e^{-t}