 | Benjamin Peirce - Algebra - 1864 - 314 pages
...the given coefficient, and for the exponent of each letter the given exponent added to itself as many times as there are units in the exponent of the required...negative. 195. EXAMPLES. 1. Find the third power of 2 aa b5 c. Ans. 8a? 615«3. 2. Find the mth power of a". Ans. a" ". 3. Find the — mth power of a".... | |
 | Horatio Nelson Robinson - Algebra - 1864 - 444 pages
...to involve a quantity -which is already a power, the exponent of the quantity will be taken as many times as there are units in the exponent of the required power. Thus, («-)' -.= a"X«" = я"4"" = aîm ; (a™)' = сГХа"Х"" = a"+"+* — a'*. And in general,... | |
 | George Augustus Walton - Arithmetic - 1864 - 376 pages
...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 them to memory.* Numbers,... | |
 | George Augustus Walton, Mrs. Electra Nobles Lincoln Walton - Arithmetic - 1865 - 354 pages
...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 them to memory.* Numbers,... | |
 | Joseph Ray - Algebra - 1852 - 422 pages
...ANY REQUIRED POWER. — Multiply the given quantity by itself, until it is taken as a factor as many times as there are units in the exponent of the required power. REMARK. — This rule is perfectly general, and applies either to monomials or polynomials, whether... | |
 | Joseph Ray - Algebra - 1866 - 420 pages
...Required Power. — Multiply the given quantity ty itself, •until it is taken as a factor as many times as there are units in the exponent of the required power. As the application of this general rule frequently involves a tedious operation, it is best to reduce... | |
 | Elias Loomis - Algebra - 1868 - 386 pages
...have the following RULE. Multiply the quantity by itself until it lias been taken as a factor as many times as there are units in the exponent of the required power. EXAMPLES. 1. Find the square of 2a+3& 2 , Ans. 4a 2 +12a& 2 +96 4 . 2. Find the square of a+in—n.... | |
 | Elias Loomis - Algebra - 1873 - 396 pages
...have the following RULE. Multiply the. quantity by itself until it has been taken as a factor as many times as there are units in the exponent of the required power. EXAMPLES. 1. Find the square of 2a+362. Ans. 4a2+12a6z+964. 2. Find the square of a+m—n. 3. Find... | |
 | Webster Wells - Algebra - 1879 - 468 pages
...evident from the definition of a power (Art. 17), by taking the given quantity as a factor as many times as there are units in the exponent of the required power. 227. If the quantity to be involved is positive, the signs of all its powers will evidently be positive... | |
 | Benjamin Greenleaf - Algebra - 1879 - 350 pages
...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. 182. When the quantity to be invoiced is positive, all the powers will be positive. For, any positive... | |
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... as many times as there are units in the exponent of the required power. Hence... 
