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Popular >

simplify 3e^{-5x}e^{7/2 x}

Solution

simplify

3 e^{- 5 x} e^{\frac{7}{2} x}

Solution

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

Solution steps

3 e^{- 5 x} e^{\frac{7}{2} x}

Apply exponent rule:

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

e^{- 5 x} e^{\frac{7}{2} x} = e^{- 5 x + \frac{7}{2} x}

= 3 e^{- 5 x + \frac{7}{2} x}

e^{- 5 x + \frac{7}{2} x} = e^{- \frac{3 x}{2}}

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

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Frequently Asked Questions (FAQ)

What is 3e^{-5x}e^{7/2 x} ?
The solution to 3e^{-5x}e^{7/2 x} is 3e^{-(3x)/2}