What is 1.49*e^{-(97100)/(8.314)*(1/829-1/900)} ?

The solution to 1.49*e^{-(97100)/(8.314)*(1/829-1/900)} is 0.49035…

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simplify 1.49e^{-(97100)/(8.314)(1/829-1/900)}

simplify

1.49 \cdot e^{- \frac{97100}{8.314} \cdot (\frac{1}{829} - \frac{1}{900})}

0.49035 \dots

Solution steps

1.49 e^{- \frac{97100}{8.314} (\frac{1}{829} - \frac{1}{900})}

Apply exponent rule:

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

= 1.49 \cdot \frac{1}{e ^{\frac{97100}{8.314} (\frac{1}{829} - \frac{1}{900})}}

\frac{1}{e ^{\frac{97100}{8.314} (\frac{1}{829} - \frac{1}{900})}} = \frac{1}{e ^{1.11140 \dots}}

= 1.49 \cdot \frac{1}{e ^{1.11140 \dots}}

Multiply fractions:

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

= \frac{1 \cdot 1.49}{e ^{1.11140 \dots}}

Multiply the numbers:

1 \cdot 1.49 = 1.49

= \frac{1.49}{e ^{1.11140 \dots}}

e^{1.11140 \dots} = 3.03861 \dots

= \frac{1.49}{3.03861 \dots}

Divide the numbers:

\frac{1.49}{3.03861 \dots} = 0.49035 \dots

= 0.49035 \dots

- cos (e^{x}) e^{- x}

e^{- 10 k}

2^{x} 3^{x}

7.8 (20)^{- 0.5}

What is 1.49*e^{-(97100)/(8.314)*(1/829-1/900)} ?
The solution to 1.49*e^{-(97100)/(8.314)*(1/829-1/900)} is 0.49035…