In arithmetic and algebra, the fourth power of a number n is the result of multiplying four instances of n together.
So: Fourth powers are also formed by multiplying a number by its cube.
Some people refer to n4 as n tesseracted, hypercubed, zenzizenzic, biquadrate or supercubed instead of “to the power of 4”.
[1] Every positive integer can be expressed as the sum of at most 19 fourth powers; every integer larger than 13792 can be expressed as the sum of at most 16 fourth powers (see Waring's problem).
Euler conjectured that a fourth power cannot be written as the sum of three fourth powers, but 200 years later, in 1986, this was disproven by Elkies with: Elkies showed that there are infinitely many other counterexamples for exponent four, some of which are:[2] Fourth-degree equations, which contain a fourth degree (but no higher) polynomial are, by the Abel–Ruffini theorem, the highest degree equations having a general solution using radicals.