Solve {(e)^(frac{196.1*1000{8.314*298.15}+125.76/8.314)}}

$${(e)^{ ( \frac{ 196.1 \times 1000 }{ 8.314 \times 298.15 } + \frac{ 125.76 }{ 8.314 } ) }}$$

Evaluate

$$e^{\frac{2335953440}{24788191}}\approx 8.44132935 \cdot 10^{40}$$

Solution Steps

Multiply 196.1 and 1000 to get 196100.

$$e^{\frac{196100}{8.314\times 298.15}+\frac{125.76}{8.314}}$$

Multiply 8.314 and 298.15 to get 2478.8191.

$$e^{\frac{196100}{2478.8191}+\frac{125.76}{8.314}}$$

Expand \frac{196100}{2478.8191} by multiplying both numerator and the denominator by 10000.

$$e^{\frac{1961000000}{24788191}+\frac{125.76}{8.314}}$$

Expand \frac{125.76}{8.314} by multiplying both numerator and the denominator by 1000.

$$e^{\frac{1961000000}{24788191}+\frac{125760}{8314}}$$

Reduce the fraction \frac{125760}{8314} to lowest terms by extracting and canceling out 2.

$$e^{\frac{1961000000}{24788191}+\frac{62880}{4157}}$$

Add \frac{1961000000}{24788191} and \frac{62880}{4157} to get \frac{2335953440}{24788191}.

$$e^{\frac{2335953440}{24788191}}$$