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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

Apply rule

- (- a) = a

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 2 = 2

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

Apply exponent rule:

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

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

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

x + 5 x - 2

e^{- 0.06 (1)} ((0.29092 \cdot 15.56))

15 n^{2} (2 n + 3) (2 n)

4 s + 1^{\frac{1}{2}}

7.95 \cdot 1 0^{- 4}

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