 | William J. Milne - Algebra - 1899 - 172 pages
...the product is equal to the product of the coefficients of its factors. 3. The exponent of a quantity in the product is equal to the sum of its exponents in the factors. 55. To multiply when the multiplier is a monomial. 1. What is the product of 5 a?yz multiplied by 3... | |
 | International Correspondence Schools - Civil engineering - 1899 - 722 pages
...a X a. Hence, a' X a' =a X a Xa X a X a = a" — a'{'. Therefore, the exponent of a letter in tlie product is equal to the sum of its exponents in the factors. 419. Particular notice should be taken of the way that coefficients and exponents are treated in multiplication.... | |
 | William James Milne - Algebra - 1901 - 476 pages
...to the product of the coefficients of the factors. 3. Law of Exponents. — The exponent of a number in the product is equal to the sum of its exponents in the factors. 79. The Law of Signs may be established as follows : +3 =+l++l++l, (1) and -3 =-l+-l +-1 =-+1 -+1 -+1... | |
 | William James Milne - Algebra - 1902 - 620 pages
...to the product of the coefficients of the factors. 3. Law of Exponents. — The exponent of a number in the product is equal to the sum, of its exponents in the factors. 79. The Law of Signs may be established as follows : +3=-Ч + + 1++1, (1) and -3=-l +-1 +-1 =- + 1... | |
 | Emerson Elbridge White - Algebra - 1902 - 104 pages
...expressed, the exponent 1 is understood. Thus, 6 = 61 and x = x1. 21. The exponent of any letter in a product is equal to the sum of its exponents in the factors. Thus, a3 x az = a3+2 = a5, and am x a" = a'"+". Hence the product of 5a262c and asbcz is Multiply :... | |
 | George Washington Hull - Algebra - 1904 - 172 pages
...Multiplier is the quantity by which we multiply. The Product is the result of the process. 21. PRINCIPLE I. The exponent of a letter in the product is equal to the sum of its exponents in the two factors. Multiply a3 by a2. Hence a3 x a2 = aaa x aa = aaaaa = a3+2 = a5. Also a4 x a3 = a4+3 =... | |
 | Arthur William Potter - Algebra - 1904 - 182 pages
...X a = a3. baxb2=bxbxbxbxb = b5. From the examples above we see that the exponent of a quantity in a product is equal to the sum of its exponents in the factors. RULE. To multiply two monomials, multiply the coefficients together for the coefficient of the product.... | |
 | George Albert Wentworth - Algebra - 1906 - 440 pages
...a™ = am + ". In like manner, a"' x a" x a" = ciт+"+î'. Hence, The Index Law in Multiplication : The exponent of a letter in the product is equal to the sum of the exponents of the letter in the factors of the product. MULTIPLICATION OF MONOMIALS 1. Find the... | |
 | William James Milne - Algebra - 1908 - 480 pages
...and multiplier. 88. Law of Exponents, or Index Law, for Multiplication. — The exponent of a number in the product is equal to the sum of its exponents in multiplicand and multiplier. The proof for positive integral exponents follows : Let m and n be any... | |
 | Edward Ellsworth Holton - Machine-shop practice - 1910 - 244 pages
...five times. The result is written a6. From the above follows: The law for exponents in multiplication. The exponent of a letter in the product is equal to the sum of its exponents in the factors. The law of signs for division. If the numbers to be divided have the same sign, the sign of the quotient... | |
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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. 
