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The exponential constant e
www.mathcentre.ac.ukYou should also check that you can evaluate negative and fractional powers of e such as e1/2 = 1.649 and e−2 = 0.135 Theexponentialfunction If we write y = ex we can calculate the value of y as we vary x. Values obtained in this way can be placed in a table. For example:
Negative and fractional powers - mathcentre.ac.uk
mathcentre.ac.ukNegative and fractional powers mc-indices2-2009-1 In many calculations you will need to use negative and fractional powers. These are explained on this leaflet. Negative powers Negative powers are interpreted as follows: a−m = 1 a m or equivalently am = 1 a− Examples 3−2 = 1 32, 1 5−2 = 52, x−1 = 1 x1 = 1 x, x−2 = 1 x2, 2−5 = 1 ...