What is 0.86*e^{-35*(1-0.86)*0.75} ?

The solution to 0.86*e^{-35*(1-0.86)*0.75} is 0.02180…

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simplify 0.86e^{-35(1-0.86)*0.75}

simplify

0.86 \cdot e^{- 35 \cdot (1 - 0.86) \cdot 0.75}

0.02180 \dots

Solution steps

0.86 e^{- 35 (1 - 0.86) \cdot 0.75}

Apply exponent rule:

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

= 0.86 \cdot \frac{1}{e ^{35 \cdot 0.75 (1 - 0.86)}}

e^{35 (1 - 0.86) \cdot 0.75} = e^{3.675}

= 0.86 \cdot \frac{1}{e ^{3.675}}

Multiply fractions:

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

= \frac{1 \cdot 0.86}{e ^{3.675}}

Multiply the numbers:

1 \cdot 0.86 = 0.86

= \frac{0.86}{e ^{3.675}}

e^{3.675} = 39.44865 \dots

= \frac{0.86}{39.44865 \dots}

Divide the numbers:

\frac{0.86}{39.44865 \dots} = 0.02180 \dots

= 0.02180 \dots

\frac{d}{d ^{2} x} (e^{- x^{2}})

(\frac{0. 2 ^{5}}{5}) \cdot 4 π \cdot 9 \cdot π \cdot 1 0^{- 9} \cdot (\frac{π}{2} - \frac{1}{4})

2 π \cdot 5 0^{- 1}

f^{- 1} (- 5)

What is 0.86*e^{-35*(1-0.86)*0.75} ?
The solution to 0.86*e^{-35*(1-0.86)*0.75} is 0.02180…