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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

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

Multiply

3 \cdot \frac{t}{2} : \frac{3 t}{2}

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

Join

2 t - \frac{t \cdot 3}{2} : \frac{t}{2}

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

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Frequently Asked Questions (FAQ)

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