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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

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

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

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

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Frequently Asked Questions (FAQ)

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