What does e to the power of -1 look like

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What does e to a negative power look like?

if e^0 = 1 what's e^-1 and how is this expressed

related to an answer for: What is e^0?
asked Dec 12, 2013 in Algebra by niks (55 points)
Thanks so much for the quick reply! Really impressed with the answer.



1 Answer

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Best answer

Below is a general shape of e^-x and also e^x side by side for comparison: 

as you can see they are just flipped versions of one another as one would expect.


Now, to answer the question why is e^0= 1? Well that is because  any number raised to the power of 0 will equal one:

ie.  x^0 = 1 (where x is any number)

e is just another constant in mathematics, such as pi.

e =  approximately 2.71828 

therefore, e^-1 = 2.71828^-1  = 0.3678, which is just a single point or dot.

answered Dec 12, 2013 by awesome ~Expert~ (1,479 points)
selected Dec 12, 2013 by niks

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