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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

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

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Frequently Asked Questions (FAQ)

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