| Benjamin Greenleaf - 1858 - 458 σελίδες
...exponent of 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 - 1858 - 472 σελίδες
...of each power raised. Hence the RULE. — Multiply the given number into- itself, till it has bean 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... | |
| James B. Dodd - 1859 - 368 σελίδες
...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 σελίδες
...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.... | |
| George Augustus Walton - 1864 - 376 σελίδες
...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 - 1865 - 354 σελίδες
...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 - 1852 - 422 σελίδες
...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... | |
| Joseph Ray - 1866 - 252 σελίδες
...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... | |
| Joseph Ray - 1866 - 250 σελίδες
...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.... | |
| Elias Loomis - 1868 - 386 σελίδες
...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... | |
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