What is 9sqrt(x)e^{-x} ?

The solution to 9sqrt(x)e^{-x} is (9sqrt(x))/(e^x)

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simplify 9sqrt(x)e^{-x}

simplify

9 x e^{- x}

\frac{9 x}{e ^{x}}

Solution steps

9 x e^{- x}

Apply exponent rule:

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

= 9 \cdot \frac{1}{e ^{x}} x

Multiply fractions:

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

= \frac{1 \cdot 9 x}{e ^{x}}

Multiply the numbers:

1 \cdot 9 = 9

= \frac{9 x}{e ^{x}}

(2 \cdot 1 0^{6}) (4 \cdot 1 0^{9})

e^{- x} (e^{2 x} + 1)

(1 - x)^{- 4}

\frac{9 - 4 x}{2 x - 1}

2.38 \cdot 1 0^{- 3}