What is e^{(-(4.75*10^3)/(8.314*298.15))} ?

The solution to e^{(-(4.75*10^3)/(8.314*298.15))} is 0.14715…

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simplify e^{(-(4.7510^3)/(8.314298.15))}

simplify

e^{(- \frac{4.75 \cdot 1 0 ^{3}}{8.314 \cdot 298.15})}

0.14715 \dots

Solution steps

e^{(- \frac{4.75 \cdot 1 0 ^{3}}{8.314 \cdot 298.15})}

Apply exponent rule:

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

= \frac{1}{e ^{\frac{4.75 \cdot 1 0 ^{3}}{8.314 \cdot 298.15}}}

Multiply the numbers:

8.314 \cdot 298.15 = 2478.8191

= \frac{1}{e ^{\frac{4.75 \cdot 1 0 ^{3}}{2478.8191}}}

4.75 \cdot 1 0^{3} = 4750

= \frac{1}{e ^{\frac{4750}{2478.8191}}}

e^{\frac{4750}{2478.8191}} = 6.79532 \dots

= \frac{1}{6.79532 \dots}

Divide the numbers:

\frac{1}{6.79532 \dots} = 0.14715 \dots

= 0.14715 \dots

\frac{29}{8} e^{- \frac{3}{2}}

9.34 \cdot 1 0^{- 11}

n n - 1

(0.05)^{2} (9 \cdot 1 0^{- 3})

9.5 e^{- 8}

What is e^{(-(4.75*10^3)/(8.314*298.15))} ?
The solution to e^{(-(4.75*10^3)/(8.314*298.15))} is 0.14715…