What is simplify-1/3 x^4e^{-3x} ?

The solution to simplify-1/3 x^4e^{-3x} is -(x^4)/(3e^{3x)}

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simplify-1/3 x^4e^{-3x}

simplify

- \frac{1}{3} x^{4} e^{- 3 x}

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

Solution steps

- \frac{1}{3} x^{4} e^{- 3 x}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= - \frac{1}{3} \cdot \frac{1}{e ^{3 x}} x^{4}

Multiply fractions:

a \cdot \frac{b}{c} \cdot \frac{d}{e} = \frac{a \cdot b \cdot d}{c \cdot e}

= - \frac{1 \cdot 1 \cdot x ^{4}}{3 e ^{3 x}}

Multiply:

1 \cdot 1 \cdot x^{4} = x^{4}

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

\frac{2 \cdot 5}{π} (8 \cdot 1 0^{- 3})

2 \cdot 2 e^{- 2^{2}}

4 e^{- x} e^{5 x}

x (x - 1)^{2} (x - 2)^{2} (x - 3)

4 \cdot 0.1 3^{2} \cdot (1 - 0.13)^{3} \cdot 0.13

What is simplify-1/3 x^4e^{-3x} ?
The solution to simplify-1/3 x^4e^{-3x} is -(x^4)/(3e^{3x)}