simplify 2xe^{-x}

Solution

simplify

2 x e^{- x}

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

Solution steps

2 x e^{- x}

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 2 = 2

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

(4 x^{5}) (9 x^{3})

f (x) = e^{- x} \cdot e^{- \frac{1}{3} x}

t^{7} (2 t^{4}) d t

f (x) = (e^{- 6 x})^{2}

2 (2.71)^{- 10}