In arithmetic and algebra the eighth power of a number n is the result of multiplying eight instances of n together. So:
- n8 = n × n × n × n × n × n × n × n.
Eighth powers are also formed by multiplying a number by its seventh power, or the fourth power of a number by itself.
The sequence of eighth powers of integers is:
- 0, 1, 256, 6561, 65536, 390625, 1679616, 5764801, 16777216, 43046721, 100000000, 214358881, 429981696, 815730721, 1475789056, 2562890625, 4294967296, 6975757441, 11019960576, 16983563041, 25600000000, 37822859361, 54875873536, 78310985281, 110075314176, 152587890625 ... (sequence A001016 in the OEIS)
In the archaic notation of Robert Recorde, the eighth power of a number was called the "zenzizenzizenzic".[1]
- ^ Womack, David (2015). "Beyond tetration operations: their past, present and future". Mathematics in School. 44 (1): 23–26. JSTOR 24767659.