What is 0.8*e^{-0.212*0.5} ?

The solution to 0.8*e^{-0.212*0.5} is 0.71953…

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simplify 0.8e^{-0.2120.5}

simplify

0.8 \cdot e^{- 0.212 \cdot 0.5}

0.71953 \dots

Solution steps

0.8 e^{- 0.212 \cdot 0.5}

Apply exponent rule:

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

= 0.8 \cdot \frac{1}{e ^{0.212 \cdot 0.5}}

Multiply the numbers:

0.212 \cdot 0.5 = 0.106

= 0.8 \cdot \frac{1}{e ^{0.106}}

Multiply fractions:

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

= \frac{1 \cdot 0.8}{e ^{0.106}}

Multiply the numbers:

1 \cdot 0.8 = 0.8

= \frac{0.8}{e ^{0.106}}

e^{0.106} = 1.11182 \dots

= \frac{0.8}{1.11182 \dots}

Divide the numbers:

\frac{0.8}{1.11182 \dots} = 0.71953 \dots

= 0.71953 \dots

\frac{d}{d x} (\frac{y}{x})

- 1.5 e^{- 1.5} 3

(1.992 \cdot 1 0^{- 5}) 28.01

x^{- 3} (x^{6} \cdot e^{3 x})

567 e^{- 3 (0)}