What is 0.68e^{-(0.5)/(1.987*10^{-3)*100}} ?

The solution to 0.68e^{-(0.5)/(1.987*10^{-3)*100}} is 0.05491…

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simplify 0.68e^{-(0.5)/(1.98710^{-3)100}}

simplify

0.68 e^{- \frac{0.5}{1.987 \cdot 1 0 ^{- 3} \cdot 100}}

0.05491 \dots

Solution steps

0.68 e^{- \frac{0.5}{1.987 \cdot 1 0 ^{- 3} \cdot 100}}

Apply exponent rule:

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

= 0.68 \cdot \frac{1}{e ^{\frac{0.5}{1 0 ^{- 3} \cdot 100 \cdot 1.987}}}

\frac{1}{e ^{\frac{0.5}{1.987 \cdot 1 0 ^{- 3} \cdot 100}}} = \frac{1}{e ^{\frac{0.5}{0.1987}}}

= 0.68 \cdot \frac{1}{e ^{\frac{0.5}{0.1987}}}

Multiply fractions:

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

= \frac{1 \cdot 0.68}{e ^{\frac{0.5}{0.1987}}}

Multiply the numbers:

1 \cdot 0.68 = 0.68

= \frac{0.68}{e ^{\frac{0.5}{0.1987}}}

e^{\frac{0.5}{0.1987}} = 12.38339 \dots

= \frac{0.68}{12.38339 \dots}

Divide the numbers:

\frac{0.68}{12.38339 \dots} = 0.05491 \dots

= 0.05491 \dots

0.1 k^{0.2} (4 k)^{0.8}

82.94 e^{- 0.053 \cdot (\frac{207}{365})} \cdot 0.7116

4.8 \cdot 1 0^{- 1}

998 \cdot 2.36 \cdot 1 0^{- 3} \cdot 9.81

\frac{2}{3} \cdot (3 - x)^{\frac{3}{2}}

What is 0.68e^{-(0.5)/(1.987*10^{-3)*100}} ?
The solution to 0.68e^{-(0.5)/(1.987*10^{-3)*100}} is 0.05491…