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For any integer n, the last decimal digit of n 5 is the same as the last (decimal) digit of n, i.e. ()By the Abel–Ruffini theorem, there is no general algebraic formula (formula expressed in terms of radical expressions) for the solution of polynomial equations containing a fifth power of the unknown as their highest power.
The (3k) th pentatope number is the generalized pentagonal number obtained by taking the negative index + in the formula for pentagonal numbers. (These expressions always give integers). [2] The infinite sum of the reciprocals of all pentatope numbers is 4 / 3 . [3]
Graphs of y = b x for various bases b: base 10, base e, base 2, base 1 / 2 . Each curve passes through the point (0, 1) because any nonzero number raised to the power of 0 is 1. At x = 1, the value of y equals the base because any number raised to the power of 1 is the number itself.
Two to the power of n, written as 2 n, is the number of values in which the bits in a binary word of length n can be set, where each bit is either of two values. A word, interpreted as representing an integer in a range starting at zero, referred to as an "unsigned integer", can represent values from 0 (000...000 2) to 2 n − 1 (111...111 2) inclusively.
An example of "beauty in method"—a simple and elegant visual descriptor of the Pythagorean theorem.. Mathematical beauty is the aesthetic pleasure derived from the abstractness, purity, simplicity, depth or orderliness of mathematics.
Squaring is the same as raising to the power 2, and is denoted by a superscript 2; for instance, the square of 3 may be written as 3 2, which is the number 9. In some cases when superscripts are not available, as for instance in programming languages or plain text files, the notations x ^2 ( caret ) or x **2 may be used in place of x 2 .
Fifth power may refer to: Fifth power (algebra), the result of multiplying five instances of a number together; Fifth power (politics), a political term; The 5th Power, a 1978 album by Lester Bowie; The Fifth Power, a 1962 film by Alberto Pieralisi
In the Zork series of games, the Great Underground Empire has its own system of measurements, the most frequently referenced of which is the bloit. Defined as the distance the king's favorite pet can run in one hour (spoofing a popular legend about the history of the foot), the length of the bloit varies dramatically, but the one canonical conversion to real-world units puts it at ...