Tables
Fractional Powers of e

This table gives values for e*x where x is between 0.0 and 6.3 inclusive. e*x may be interpreted as e*r, in the formula for the probability of an outcome k in a Poisson distribution with rate r, namely:

p(k) = (r*k) /(k!)(e*r)

For k! (k factorial), see the Factorials table.

Table

e*0.0
1.000 000 000
 e*3.2
24.532 530 20
e*0.1
1.105 170 918
 e*3.3
27.112 638 92
e*0.2
1.221 402 758
 e*3.4
29.964 100 05
e*0.3
1.349 858 808
 e*3.5
33.115 451 96
e*0.4
1.491 824 698
 e*3.6
36.598 234 44
e*0.5
1.648 721 271
 e*3.7
40.447 304 36
e*0.6
1.822 118 800
 e*3.8
44.701 184 49
e*0.7
2.013 752 707
 e*3.9
49.402 449 11
e*0.8
2.225 540 928
 e*4.0
54.598 150 03
e*0.9
2.459 603 111
 e*4.1
60.340 287 60
e*1.0
2.718 281 828
 e*4.2
66.686 331 04
e*1.1
3.004 166 024
 e*4.3
73.699 793 70
e*1.2
3.320 116 923
 e*4.4
81.450 868 66
e*1.3
3.669 296 668
 e*4.5
90.017 131 30
e*1.4
4.055 199 967
 e*4.6
99.484 315 64
e*1.5
4.481 689 070
 e*4.7
109.947 172 5
e*1.6
4.953 032 424
 e*4.8
121.510 417 5
e*1.7
5.473 947 392
 e*4.9
134.289 779 7
e*1.8
6.049 647 464
 e*5.0
148.413 159 1
e*1.9
6.685 894 442
 e*5.1
164.021 907 3
e*2.0
7.389 056 099
 e*5.2
181.272 241 9
e*2.1
8.166 169 913
 e*5.3
200.336 810 0
e*2.2
9.025 013 499
 e*5.4
221.406 416 2
e*2.3
9.974 182 455
 e*5.5
244.691 932 3
e*2.4
11.023 176 38
 e*5.6
270.426 407 4
e*2.5
12.182 493 96
 e*5.7
298.867 401 0
e*2.6
13.463 738 04
 e*5.8
330.299 559 9
e*2.7
14.879 731 72
 e*5.9
365.037 467 9
e*2.8
16.444 646 77
 e*6.0
403.428 793 5
e*2.9
18.174 145 37
 e*6.1
445.857 770 1
e*3.0
20.085 536 92
 e*6.2
492.749 041 1
e*3.1
22.197 951 28
 e*6.3
544.571 910 1

For higher powers, see the general table of e*x.

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2 Sept 2004 / Contact The Project / Exit to Resources Page