 | Charles D. Lawrence - Arithmetic - 1854 - 336 pages
...that a number may be involved to any required power, by the following RULE. Employ the given number as a factor as many times as there are units in the exponent which denotes the required power, and the product of these equal factors, is the power sought. EXAMPLES.... | |
 | Benjamin Greenleaf - Arithmetic - 1857 - 452 pages
...each power raised. Hence the RULE. — Multiply the given number into itself, till it has been used as a factor as many times as there are units in the exponent of the power to which the number is to be raised. NOTE 1. — The number of multiplications will always... | |
 | Benjamin Greenleaf - Arithmetic - 1858 - 458 pages
...each power raised. Hence the RULE. — Multiply the given number into itself, till it has been used as a factor as many times as there are units in the exponent of the power to which the number is to be raised. NOTE 1. — The number of multiplications will always... | |
 | Benjamin Greenleaf - Arithmetic - 1858 - 472 pages
...examining the several powers of 2 in the examples, it.is seen that each has been produced by taking the 2 as a factor as many times as there are units in the exponent of each power raised. Hence the RULE. — Multiply the given number into- itself, till it has bean... | |
 | James B. Dodd - Arithmetic - 1859 - 368 pages
...required power. This may always be effected by multiplying the number into itself until it becomes a factor as many times as there are units in the exponent of the power. Thus 9 2 =9x 9 = 81 ; and 9 3 = 9 x9 x 9 = 729, (194). A higher power of a given number... | |
 | Benjamin Greenleaf - 1863 - 338 pages
...power. This may be effected, as is evident from the definition of a power, by taking the given quantity as a factor as many times as there are units in the exponent of the required power. 187, When the quantity to be involved is positive, all the powers will be positive.... | |
 | Benjamin Greenleaf - Algebra - 1864 - 420 pages
...and so on. Hence the following GENERAL RULE. Multiply the given quantity by itself, until it has been taken as a factor as many times as there are units in the exponent of the power. EXAMPLES. 1. Find the third power of a — b. Ans. «•' — 3a!6+3aJ2 — 4s. 2. Find... | |
 | George Augustus Walton - Arithmetic - 1864 - 376 pages
...second and third powers. 383. Any power may be obtained by the following RULE. Employ the given number as a factor as many times as there are units in the exponent of the required power. EXAMPLES. 1. Find the squares of the integers from 1 to 25 inclusive, end commit... | |
 | George Augustus Walton, Mrs. Electra Nobles Lincoln Walton - Arithmetic - 1865 - 354 pages
...second and third powers. 383. Any power may be obtained by the following EULE. Employ the given number as a factor as many times as there are units in the exponent of the required power. EXAMPLES. 1. Find the squares of the integers from 1 to 25 inclusive, and commit... | |
 | Joseph Ray - Algebra - 1866 - 250 pages
...243a10iz5/0215. CASE II. TO RAISE A POLYNOMIAL TO ANY POWER, 181. Rule. — Find the product of the quantity, taken as a factor as many times as there are units in the exponent of the power, 1. Find the square of ax-\-cy. 2. Square of l—x Ans. 1— 2x+x*. 3. Square of x+l.... | |
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A Positive Integral Exponent signifies that the number affected by it is to be taken as a factor as many times as there are units in the exponent. It is a kind of symbol of multiplication. Illustration. 2s (read, " 2, third power "), signifies that two... 
