What is (e^{-2x}x^4)(-4) ?

The solution to (e^{-2x}x^4)(-4) is -(4x^4)/(e^{2x)}

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

simplify

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

- \frac{4 x ^{4}}{e ^{2 x}}

Solution steps

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

Apply exponent rule:

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

= (- 4) \frac{1}{e ^{2 x}} x^{4}

Remove parentheses:

(- a) = - a

= - \frac{1}{e ^{2 x}} x^{4} \cdot 4

Multiply fractions:

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

= - \frac{1 \cdot x ^{4} \cdot 4}{e ^{2 x}}

Multiply the numbers:

1 \cdot 4 = 4

= - \frac{4 x ^{4}}{e ^{2 x}}

\frac{1}{0.6} e^{- \frac{9.5}{0.6}}

(+ 3 z^{2}) (+ 4 z)

e^{- 3 t} t^{3}

(1.72 \cdot 1 0^{- 8}) (\frac{100}{\frac{2.5}{1000}})