That is, the exponent of a letter in the quotient is equal to its exponent in the dividend minus its exponent in the divisor. For example, — = a*~". Complete School Algebra - Page 83by Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - 1919 - 507 pagesFull view - About this book
| William James Milne - 1911 - 360 pages
...a5-363-2 = 7 c№ = 7 a26. 3a3W 3 Hence, for division : 32. Law of exponents. — The exponent of a number in the quotient is equal to its exponent in the dividend minus its exponent in the divisor. Since a number divided by itself equals 1, a8 •+• a5 = a0~6 = a° = 1 ; that is, a number whose... | |
| Webster Wells, Walter Wilson Hart - Algebra - 1912 - 504 pages
...Ill 11 *•*•*• a •* •* • Ъ • Ъ • Ъ . Ъ 11111 Rule. — The exponent of any number in the quotient is equal to its exponent in the dividend minus its exponent in the divisor. HISTORICAL NOTE. — This rule was known to Stifel (see note § 53). DIVISION OF MONOMIALS BY MONOMIALS... | |
| Webster Wells, Walter Wilson Hart - Algebra - 1912 - 344 pages
...» •* • * • b • b • Ь =a&4 a362 а.а.я-Я-Ъ 11111 Rule. — The exponent of any number in the quotient is equal to its exponent in the dividend minus its exponent in the divisor. HISTORICAL NOTE. — This rule was known to Stifel (see note § 53). DIVISION OF MONOMIALS BY MONOMIALS... | |
| Webster Wells - 1913 - 366 pages
...Signs for Division is stated in paragraph 2, h. The Law of Exponents. The exponent of any number in a quotient is equal to its exponent in the dividend minus its exponent in the divisor. This law is proved for certain exponents in paragraph 115. Rule. — To divide a monomial by a monomial... | |
| Frederick Howland Somerville - Algebra - 1913 - 458 pages
...by the coefficient of the divisor, annexing to the result the literal factors, each with an exponent equal to its exponent in the dividend minus its exponent in the divisor. Oral Drill Give orally the quotients of : 1. 2. 3. 4. 5. 6. 7. 8. 9. 4a)-12a8 -3a?)15a?y 11 xy) - 44... | |
| Florian Cajori, Letitia Rebekah Odell - Algebra - 1915 - 242 pages
...• a = 22 or 26"3. = a2 or a6-3CQ ELEMENTARY ALGEBRA This gives the following very important rule : The exponent of any letter in the quotient is equal...in the dividend minus its exponent in the divisor. It is while : i thus seen that in division we subtract the exponents of any letter, in multiplication... | |
| Florian Cajori - 1916 - 236 pages
...Divide the numerical coefficients ; annex the letters, giving to each letter in the quotient an exponent equal to its exponent in the dividend minus its exponent in the divisor. Observe the law of signs : Like signs give plus, unlike signs give minus. To divide one polynomial... | |
| Florian Cajori, Letitia Rebekah Odell - Algebra - 1916 - 238 pages
...Divide the numerical coefficients ; annex the letters, giving to each letter in the quotient an exponent equal to its exponent in the dividend minus its exponent in the divisor. Observe the law of signs : Like signs give plus, unlike signs give minus. To divide one polynomial... | |
| Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Algebra - 1917 - 344 pages
...аж3-s- a^= — , ' = аж, or аж8"2. ф.ф In like manner 6 by5 -=- 2 ^= 3 fo/2, or 3 i • y6~3. These examples illustrate the Principle. The exponent...in the dividend minus its exponent in the divisor. KE 87 The foregoing principle expressed in general terms is 71a -т- Пь = Л"-*. What this equation... | |
| Elmer Adelbert Lyman, Albertus Darnell - Algebra - 1917 - 520 pages
...symbols, the law of exponents in division. In words, this law may be stated : The exponent of any base in the quotient is equal to its exponent in the dividend minus its exponent in the divisor. EXAMPLES 1. а7 ч- a6 = a7-6 or a2. 4. - 27 ч- 24 = - 23. (Why ?) 2. a2ч--M = -a. (Why?) 5. a3t... | |
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