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Popular >

simplify e^x(e^{-3x-4})

Solution

simplify

e^{x} (e^{- 3 x - 4})

Solution

e^{- 2 x - 4}

Solution steps

e^{x} (e^{- 3 x - 4})

Apply exponent rule:

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

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

= e^{x - 3 x - 4}

Add similar elements:

x - 3 x = - 2 x

= e^{- 2 x - 4}

Popular Examples

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2^{- 5.05} \cdot (- 5.05)

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x sin (x) \cdot e^{- x}

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4.8 \cdot 1 0^{- 5}

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(6 \cdot \frac{4 π}{3}) (15)^{3}

Frequently Asked Questions (FAQ)

What is e^x(e^{-3x-4}) ?
The solution to e^x(e^{-3x-4}) is e^{-2x-4}