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Popular >

simplify 2e^t*e^{-(3t)/2}

Solution

simplify

2 e^{t} \cdot e^{- \frac{3 t}{2}}

Solution

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

Solution steps

2 e^{t} e^{- \frac{3 t}{2}}

Apply exponent rule:

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

e^{t} e^{- \frac{3 t}{2}} = e^{t - \frac{3 t}{2}}

= 2 e^{t - \frac{3 t}{2}}

e^{t - \frac{3 t}{2}} = e^{- \frac{t}{2}}

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

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Frequently Asked Questions (FAQ)

What is 2e^t*e^{-(3t)/2} ?
The solution to 2e^t*e^{-(3t)/2} is 2e^{-t/2}