| Enoch Lewis - Algebra - 1826 - 180 pages
...x*+t*x*+3, x3\ x3"+1, &c. Now, the product of any two terms of this series is, manifestly, indicated by x, with an exponent equal to the sum of the exponents of the factors, as a;"Xa;3"+1=a;1">+1; x — 1 a; x-* x" If for x and its powers we write a" and its powers,... | |
| William Scott - Algebra - 1844 - 568 pages
...T 2ab\a — -A- 0 36. The product of two powers of the same root is obtained by affecting that root with an exponent equal to the sum of the exponents of the multiplicand and multiplier (Part I. Art. 75), and the quotient arising from the division, one by the... | |
| G. Ainsworth - 1854 - 216 pages
...in few words, to obtain the product of two or more powers of the same letter, write down the letter with an exponent equal to the sum of the exponents of the several factors. Where the multiplier as well as the multiplicand is a compound quantity, all the terms... | |
| Theodore Strong - Algebra - 1859 - 570 pages
...the same letter or literal quantity occurs more than once, unite the letter or literal quantity once, with an exponent equal to the sum of the exponents of the letter or literal quantity, added according to their signs ; observing that if no exponent is expressed,... | |
| Edward Olney - Algebra - 1873 - 354 pages
...two or more factors consisting of the same quantity affected with exponents, is the common quantity with an exponent equal to the sum of the exponents of the factors. That is am X a" = am+* ; or am- a"- a! = am+'+', etc., whether the exponents are integral... | |
| Edward Olney - 1878 - 360 pages
...two or more factors consisting of the same quantity affected with exponents, is the common quantity with an exponent equal to the sum of the exponents of the factors. That is am X a" = am+" ; or «"'• a"- a' = am+"+', etc., whether the exponents are integral... | |
| Edward Olney - Algebra - 1880 - 354 pages
...two or more factors consisting of the same quantity affected with exponents, is the common quantity with an exponent equal to the sum of the exponents of the factors. That is a'" X a" = am+n ; or «"'• a"- a' = am+*+', etc., whether the exponents are integral... | |
| George Albert Wentworth, Thomas Hill - Arithmetic - 1881 - 446 pages
...evident that the product of two or more powers of the same number is expressed by writing the number •with an exponent equal to the sum of the exponents of the given powers. Express the product of, 1. 75 x 7s ; 82 x 8 ; 2s x 2 ; 54 x 5s. 2. 3.01» x 3.01; 0.672x0.678; .208... | |
| Edward Olney - Algebra - 1881 - 504 pages
...two or more factors consisting of the same quantity affected with exponents, is the common quantity with an exponent equal to the sum of the exponents of the factors. That is, «"»x«" = am+n; or am-an-as = am+n+>, etc., whether the exponents are integral... | |
| George Albert Wentworth, Thomas Hill - Arithmetic - 1882 - 376 pages
...evident that the product of two or more powers of the same number is expressed by writing the number with an exponent equal to the sum of the exponents of the given powers. Express the product of, 1. 75 x 73 ; 82 x 8 ; 28 x 2 ; . 5* x 52. 2. 3.012x3.01; 0.672x0.678; .208... | |
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