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Popular >

simplify x^2(3x^4e^{-x})

Solution

simplify

x^{2} (3 x^{4} e^{- x})

Solution

3 e^{- x} x^{6}

Solution steps

x^{2} (3 x^{4} e^{- x})

Apply exponent rule:

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

x^{2} x^{4} = x^{2 + 4}

= 3 x^{2 + 4} e^{- x}

Add the numbers:

2 + 4 = 6

= 3 x^{6} e^{- x}

Popular Examples

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e^{- 8} \cdot 8

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6.92 \cdot 1 0^{- 8}

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(8.61294) e^{- 205.382}

Frequently Asked Questions (FAQ)

What is x^2(3x^4e^{-x}) ?
The solution to x^2(3x^4e^{-x}) is 3e^{-x}x^6