What is 0.5e^{-(0.8^2)/(0.3)} ?

The solution to 0.5e^{-(0.8^2)/(0.3)} is 0.05922…

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simplify 0.5e^{-(0.8^2)/(0.3)}

simplify

0.5 e^{- \frac{0. 8 ^{2}}{0.3}}

0.05922 \dots

Solution steps

0.5 e^{- \frac{0. 8 ^{2}}{0.3}}

Apply exponent rule:

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

= 0.5 \cdot \frac{1}{e ^{\frac{0. 8 ^{2}}{0.3}}}

Multiply fractions:

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

= \frac{1 \cdot 0.5}{e ^{\frac{0. 8 ^{2}}{0.3}}}

Multiply the numbers:

1 \cdot 0.5 = 0.5

= \frac{0.5}{e ^{\frac{0. 8 ^{2}}{0.3}}}

0. 8^{2} = 0.64

= \frac{0.5}{e ^{\frac{0.64}{0.3}}}

e^{\frac{0.64}{0.3}} = 8.44296 \dots

= \frac{0.5}{8.44296 \dots}

Divide the numbers:

\frac{0.5}{8.44296 \dots} = 0.05922 \dots

= 0.05922 \dots

(3 x^{2}) (8 x)

(1 - \frac{1}{2}) (e^{- 10})

7.635 \cdot 1 0^{- 5}

200 \cdot 1.6 \cdot 1 0^{- 19}

What is 0.5e^{-(0.8^2)/(0.3)} ?
The solution to 0.5e^{-(0.8^2)/(0.3)} is 0.05922…