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Popular >

simplify 10e^{-5t}*e^{4t}

Solution

simplify

10 e^{- 5 t} \cdot e^{4 t}

Solution

10 e^{- t}

Solution steps

10 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}

= 10 e^{- 5 t + 4 t}

Add similar elements:

- 5 t + 4 t = - t

= 10 e^{- t}

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Frequently Asked Questions (FAQ)

What is 10e^{-5t}*e^{4t} ?
The solution to 10e^{-5t}*e^{4t} is 10e^{-t}