Tetration is the hyperoperation which comes after exponentiation.[1] means y exponentiated by itself, (x-1) times.[2][3][4] List of first 4 natural number hyperoperations, the inverse of tetration is the super root shown in the example
The above example is read as "the nth tetration of a".
1 | 1 (11) | 1 (11) | 1 (11) |
2 | 4 (22) | 16 (24) | 65,536 (216) |
3 | 27 (33) | 7,625,597,484,987 (327) | 1.258015 × 103,638,334,640,024 |
4 | 256 (44) | 1.34078 ×10154 (4256) | (8.1 × 10153 digits) |
5 | 3,125 (55) | 1.91101 × 102,184 (53,125) | (1.3 × 102,184 digits) |
6 | 46,656 (66) | 2.65912 × 1036,305 (646,656) | (2.1 × 1036,305 digits) |
7 | 823,543 (77) | 3.75982 × 10695,974 (7823,543) | (3.2 × 10695,974 digits) |
8 | 16,777,216 (88) | 6.01452 × 1015,151,335 | (5.4 × 1015,151,335 digits) |
9 | 387,420,489 (99) | 4.28125 × 10369,693,099 | (4.1 × 10369,693,099 digits) |
10 | 10,000,000,000 (1010) | 1010,000,000,000 | (1010,000,000,000 digits) |