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.