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Popular >

simplify 3e^{-x}*e^{-3/4 x}

Solution

simplify

3 e^{- x} \cdot e^{- \frac{3}{4} x}

Solution

3 e^{- \frac{7 x}{4}}

Solution steps

3 e^{- x} e^{- \frac{3}{4} x}

Apply exponent rule:

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

e^{- x} e^{- \frac{3}{4} x} = e^{- x - \frac{3}{4} x}

= 3 e^{- x - \frac{3}{4} x}

e^{- x - \frac{3}{4} x} = e^{- \frac{7 x}{4}}

= 3 e^{- \frac{7 x}{4}}

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Frequently Asked Questions (FAQ)

What is 3e^{-x}*e^{-3/4 x} ?
The solution to 3e^{-x}*e^{-3/4 x} is 3e^{-(7x)/4}