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Popular >

simplify e^{-2t}e^{-1/2 t}

Solution

simplify

e^{- 2 t} e^{- \frac{1}{2} t}

Solution

e^{- \frac{5 t}{2}}

Solution steps

e^{- 2 t} e^{- \frac{1}{2} t}

Apply exponent rule:

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

e^{- 2 t} e^{- \frac{1}{2} t} = e^{- 2 t - \frac{1}{2} t}

= e^{- 2 t - \frac{1}{2} t}

Simplify

- 2 t - \frac{1}{2} t : - \frac{5}{2} t

= e^{- \frac{5}{2} t}

Multiply

- \frac{5}{2} t : - \frac{5 t}{2}

= e^{- \frac{5 t}{2}}

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Frequently Asked Questions (FAQ)

What is e^{-2t}e^{-1/2 t} ?
The solution to e^{-2t}e^{-1/2 t} is e^{-(5t)/2}