Please explain how to solve e raised to something?

I believe you are allowed to use calculators. Using calculators, its easy. Just put e ( number) to reach solution. Otherwise, you need to use a shortcut for an average answer.
 Here, solve for (-18230.8)/(8.314*8.314) = -4.385.
To find e^(-4.385).
e = 2.72. 
e^(-4.385) = 1/( 2.72^ 4.385)
Now, take approx 1/ (2.72 ^ 4) .
You will have to multiply and find answer. Also find 2.72 ^ 5,  and take average of the 2 values. It is a tideous procesa. You can also study log values to make calculation easier.

Taking 3 instead of 2.72 makes easy calculating, but answers will vary. You can get approx answer.

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