 | Horatio Nelson Robinson - Algebra - 1863 - 432 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, (a1")" = a-Xa" = «"+" = «"" 5 (a"*)' = o"XamXo" = «"+"+" = a*". And in general, a" raised... | |
 | 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 them to memory.* Numbers,... | |
 | 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, 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 them to memory.* Numbers,... | |
 | Joseph Ray - Algebra - 1852 - 422 pages
...RAISING A QUANTITY TO 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 - 252 pages
...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. Ans. (ax-\-cif)(ax-}rc;/)—a*x>-\-2acxy-\-c>y*. 2. Square of... | |
 | Joseph Ray - Algebra - 1866 - 250 pages
...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. • Ans.... | |
 | Elias Loomis - Algebra - 1868 - 386 pages
...and so on. Hence we 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.... | |
 | Joseph Ray - Algebra - 1866 - 420 pages
...Raising any Quantity to any Required Power. — Multiply the given quantity Ly 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 - 1873 - 396 pages
...and so on. Hence we 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... | |
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To raise a whole number or a decimal to any power, use it as a factor as many times as there are units in the exponent. 
