What is simplify-20e^{-x}(-2e^{-x}) ?

The solution to simplify-20e^{-x}(-2e^{-x}) is (40)/(e^{2x)}

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simplify-20e^{-x}(-2e^{-x})

simplify

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

\frac{40}{e ^{2 x}}

Solution steps

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

Apply exponent rule:

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

= - 20 \cdot \frac{1}{e ^{x}} (- 2 e^{- x})

Apply rule

- (- a) = a

= 20 \cdot \frac{1}{e ^{x}} \cdot 2 e^{- x}

Multiply fractions:

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

= \frac{1 \cdot 20 \cdot 2 e ^{- x}}{e ^{x}}

Multiply the numbers:

1 \cdot 20 \cdot 2 = 40

= \frac{40 e ^{- x}}{e ^{x}}

Apply exponent rule:

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

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

= \frac{40}{e ^{2 x}}

x + 2 \cdot x - 1

2.7 x 1 0^{- 3}

7.1734 \cdot 1 0^{- 5}

1000 t e^{- 0.06 t} d t

\frac{5 ^{2}}{2 !} e^{- 5}

What is simplify-20e^{-x}(-2e^{-x}) ?
The solution to simplify-20e^{-x}(-2e^{-x}) is (40)/(e^{2x)}