 | School of Railway Signaling (Utica, N.Y.) - Railroads - 1910 - 446 pages
...(a'» X a" X )«"- then a" ' X a" X a" = a"'"""••••". 130. INDEX LAW IN MULTIPLICATION. T/ie exponent of a letter in the product is equal to the sum of the exponents of that letter in the different factors of the product. 131. PROBLEM.—Find the product... | |
 | William James Milne - 1911 - 360 pages
...• 62) = 15 а563. Hence, for multiplication : 23. Law of exponents. — The exponent of a number in the product is equal to the sum of its exponents in multiplicand and multiplier. 24. Law of coefficients. — The coefficient of the product is equal to... | |
 | William James Milne - Algebra - 1914 - 514 pages
...the multiplier. 88. Law of Exponents, or Index Law, for Multiplication. — Tlie exponent of a number in the product is equal to the sum of its exponents in the multiplicand and the multiplier. Theproo/for positive integral exponents follows : Let m and n be any... | |
 | Elmer Adelbert Lyman, Albertus Darnell - Algebra - 1917 - 520 pages
...algebraic symbols. In words we have : In multiplying powers of the same base the exponent of any base in the product is equal to the sum of its exponents in the factors. Also since (a3)2 = a3 • a3 = a6, we have (a3)2 = a3*2, and in general (a™)" = a""7. 115. The student... | |
 | Coast Artillery School (U.S.) - 1943 - 64 pages
...-^ 3) = 3 + 2 = 5; (ab) _ ab . c ~ cc ' (3y — 3z) 3y 3z ± y-- -'- - 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. To find the product of two simple expressions... | |
 | Joseph Ray - Algebra - 1848 - 260 pages
.../, he written '! expressed thus, aaXo, or aaa, which, for the sake of brevity, is written a*. 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 0* by a2? . . . .... | |
 | Joseph Ray - Algebra - 1848 - 252 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 ihe two factors. 3d. That the product of like signs, gives phis in the product, and unlike signs, gives... | |
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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. 
