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In arithmetic and algebra, the fifth power or sursolid [1] of a number n is the result of multiplying five instances of n together: n 5 = n × n × n × n × n. Fifth powers are also formed by multiplying a number by its fourth power, or the square of a number by its cube. The sequence of fifth powers of integers is:
In arithmetic and algebra, the fourth power of a number n is the result of multiplying four instances of n together. So: n 4 = n × n × n × n. Fourth powers are also formed by multiplying a number by its cube. Furthermore, they are squares of squares.
Here, 243 is the 5th power of 3, or 3 raised to the 5th power. The word "raised" is usually omitted, and sometimes "power" as well, so 3 5 can be simply read "3 to the 5th", or "3 to the 5". Integer exponents
Numbers of the form 31·16 n always require 16 fourth powers. 68 578 904 422 is the last known number that requires 9 fifth powers (Integer sequence S001057, Tony D. Noe, Jul 04 2017), 617 597 724 is the last number less than 1.3 × 10 9 that requires 10 fifth powers, and 51 033 617 is the last number less than 1.3 × 10 9 that requires 11.
Inflation had dropped from 11% to 4% before surging back to 14%. With major central banks globally expected to continue rate cuts in the coming quarters, a similar scenario cannot be ruled out.
The S&P 500 gave up an early gain to finish down 0.4%. The benchmark index, which set 57 record highs in 2024, racked up a 23.3% gain for the year. This was its second straight year with a gain of ...
At 33 years old, Kittley, becomes the youngest head coach in FBS. This season, Texas Tech's offense was the 10th-best in the nation, averaging 459.8 yards per game.
For this special case of m = 1, some of the known solutions satisfying the proposed constraint with n ≤ k, where terms are positive integers, hence giving a partition of a power into like powers, are: [3] k = 3 3 3 + 4 3 + 5 3 = 6 3 k = 4 95800 4 + 217519 4 + 414560 4 = 422481 4 (Roger Frye, 1988) 30 4 + 120 4 + 272 4 + 315 4 = 353 4 (R ...