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Popular >

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

Solution

simplify

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

Solution

e^{4 t}

Solution steps

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

Apply exponent rule:

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

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

= e^{5 t - t}

Add similar elements:

5 t - t = 4 t

= e^{4 t}

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Frequently Asked Questions (FAQ)

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