 | Joseph Ray - Algebra - 1848 - 250 pages
...a be written ? expressed thus, ady^a, or aaa, which, for the sake of brevity, is written a3. Hence, the exponent of a letter in the product, is equal to the sum of its exponents in the two factors. This is termed, the i~ule of the exponents. 3. What is the product of o? by a'! . . .... | |
 | Joseph Ray - Algebra - 1848 - 250 pages
...a be written ? expressed thus, aay\a, or aaa, which, for the sake of brevity, is written a2. Hence, the exponent of a letter in the product, is equal to the sum of its exponents in Hie two factors. This is termed, the rule of the exponents. 3. What is the product of a2 by a2? . .... | |
 | Joseph Ray - Algebra - 1852 - 408 pages
...of any term is equal to the product of the coefficients of its factors. 2d. That the exponent of any letter in the product is equal to the sum of its exponents in the two factors. 3 d. That the product of like signs gives plus in the product, and unlike signs gives... | |
 | Joseph Ray - Algebra - 1857 - 408 pages
...be 2aaX3aoa, 3a2==3aaa or Gaaaaa, which, for the sake of brevity, is 6a'=6aaaaa written 6a'. Hence, the exponent of a letter in the product is equal to the sum of its exponents in the two factors. This is termed the rule of the exponents. 2. a6Xa= 3. 4. EXAMPLES 5. 6. c"+iXcn~i= 7.... | |
 | Benjamin Greenleaf - 1863 - 338 pages
...been obtained at once, by taking the sum of the exponents, 3 and 2, of the common letter a. Hence, The exponent of a letter in the product is equal to the sum of its exponents in the factors. Prom the preceding examples and illustrations of multiplication of monomials is tierived the following... | |
 | Joseph Ray - Algebra - 1866 - 252 pages
...Since a2=aa, the product of a2 by a may be expressed thus, aaXai or aaa, which is written a2. Hence, The exponent of a letter in the product is equal to the sum of its exponents in the two factors. This is termed the Rule of the Exponents. 3. What is the product of a2 by a2 ? Ans. aaaa,... | |
 | Joseph Ray - Algebra - 1866 - 250 pages
...Since az=aa, the product of a2 by a may be expressed thus, aaXffl! °r aaa, which is written a3. Hence, The exponent of a letter in the product is equal to the sum of its exponents in the two factors. This is termed the Rule of the Exponents. 3. What is the product of a1 by a2 ? Ans. aaaa,... | |
 | Benjamin Greenleaf - 1866 - 336 pages
...been obtained at once, by taking the sum of the exponents, 3 and 2, of the common letter a. Hence, The exponent of a letter in the product is equal to the sum of us exponents in the factors. From the preceding examples and illustrations of multiplication of monomials... | |
 | Joseph Ray - Algebra - 1866 - 420 pages
...DIVISION OF QUANTITIES WITH FRACTIONAL EXPONENTS. , . It has beep shown (Art. 56) that the exponent of any letter in the product is equal to the sum of its exponents in the two factors. It will now .be shown that the lame rule applies when the exponents are fractional. ?... | |
 | Joseph Ray - Algebra - 1852 - 422 pages
...QUANTITIES WITH FRACTIONAL EXPONENTS. ART. 212. It has been shown (Art. 56) that (he exponent of any letter in the product is equal to the sum of its exponents in thi two factors. It will now be shown that the same mlc applies when the exponents are fractional.... | |
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Hence, The exponent of a letter in the product is equal to the sum of its exponents in the two factors. This is termed the Rule of the Exponents. 
