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The polynomial () (+) is a cubic polynomial: after multiplying out and collecting terms of the same degree, it becomes + +, with highest exponent 3.. The polynomial (+ +) + (+ + +) is a quintic polynomial: upon combining like terms, the two terms of degree 8 cancel, leaving + + + +, with highest exponent 5.
Fourth powers are also formed by multiplying a number by its cube. Furthermore, they are squares of squares. Some people refer to n 4 as n tesseracted, hypercubed, zenzizenzic, biquadrate or supercubed instead of “to the power of 4”. The sequence of fourth powers of integers, known as biquadrates or tesseractic numbers, is:
The cube is also the number multiplied by its square: n 3 = n × n 2 = n × n × n. The cube function is the function x ↦ x 3 (often denoted y = x 3) that maps a number to its cube. It is an odd function, as (−n) 3 = −(n 3). The volume of a geometric cube is the cube of its side length, giving rise to the
Similarly, the expression b 3 = b · b · b is called "the cube of b" or "b cubed", because the volume of a cube with side-length b is b 3. When an exponent is a positive integer, that exponent indicates how many copies of the base are multiplied together. For example, 3 5 = 3 · 3 · 3 · 3 · 3 = 243.
Analogously, the inverses of tetration are often called the super-root, and the super-logarithm (In fact, all hyperoperations greater than or equal to 3 have analogous inverses); e.g., in the function =, the two inverses are the cube super-root of y and the super-logarithm base y of x.
also cube or cubed for denoting the third power of a unit: cubic metre or metre cubed; albatross in golf denotes three strokes less than par. Sometimes called double eagle; hat-trick or hat trick: achievement of three feats in sport or other contexts [4] antepenultimate third from the end
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1 cm – edge of a cube of volume 1 mL; 1 cm – length of a coffee bean; 1 cm – approximate width of average fingernail; 1.2 cm – length of a bee; 1.2 cm – diameter of a die; 1.5 cm – length of a very large mosquito; 1.6 cm – length of a Jaragua Sphaero, a very small reptile; 1.7 cm – length of a Thorius arboreus, the smallest ...