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" Obtain the exponent of each literal factor in the quotient by subtracting the exponent of each letter in the divisor from the exponent of the same letter in the dividend; Determine the sign of the result by the rule that like signs give plus, and unlike... "
First Lessons in Algebra: Embracing the Elements of the Science - Side 155
av Charles Davies - 1839 - 252 sider
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Mathematics for practical men

Olinthus Gilbert Gregory - 1848 - 572 sider
...equal to the difference of their squares. SECT. IV. D witton. 1. To divide one monomial by another, divide the coefficient of the dividend by the coefficient of the divisor for the coefficient of the quotient, and subjoin to it a fraction having for its numerator the letters...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1848 - 300 sider
...ELEMENTARY ALGEBRA. Also, 7ab for, Hence, lor the division of monomials we have the following KtJLE. I. Divide the coefficient of the dividend by the coefficient of the divisor, for a new coefficient. II. Write after this coefficient, all the letters of the dividend, and affect...
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ..., Del 1

Joseph Ray - 1848 - 250 sider
...DEGREE. 1st. Find the quotient of the parts under the radical, and place it under the common radical. 2d. If the radicals have coefficients, divide the coefficient of the dividend by that of the divisor, and prefix the result to the common radical. NOTE.— When a radical quantity...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1850 - 292 sider
...is the product of Va + 2-\/6 and Va—2,\^b1 Ans. "Y/a2 — 4/>. 8. What is the product of 3ayr27a3 by -y/2a ? Division. 112. To divide one radical by...and place the quotient before the common radical. ELEMENTARY ALGEBRA. / Thus, — —=\— ; for the squares of these two yb expressions are equal to...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1851 - 300 sider
...-\/a + 2-v/6 and yln.v. -y/a2 — 4A. 8. What is the product of 3a^/27o3 by -y/2a ? ^4»*. 9a3-/6. Division. 112. To divide one radical by another, we...and place the quotient before the common radical. QUHT. — 112. How do you divide quantities which are under the radical sign ? When the radicals have...
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Elementary Algebra: For the Use of Schools

William Smyth - 1851 - 272 sider
...has been done, the following rule for the division of monomials will be readily inferred, viz.: 1°. Divide the coefficient of the dividend . by the coefficient of the divisor. 2°. Strike out from the dividend the letters common to it and the divisor, when the erponents in each...
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A Practical Treatise on Algebra: Designed for the Use of Students in High ...

Benjamin Greenleaf - 1852 - 348 sider
...reduce it to its simplest form by cancelling the letters and Jigures, that are common to each term. Or, divide the coefficient of the dividend by the coefficient of the divisor, and strike out from the dividend the letters common to the divisor. 1. Divide Gab by 2a. EXAMPLES. ^ =...
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Ray's Algebra Part Second: An Analytical Treatise, Designed for High Schools ...

Joseph Ray - 1852 - 408 sider
...Hence, we have the following RULE or THE COEFFICIENTS. — To obtain the coefficient of the quotient, divide the coefficient of the dividend by the coefficient of the divisor. 2d. The exponent of a in the quotient must be such a number, that when 2, the exponent of a in the...
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ...

Joseph Ray - 1848 - 250 sider
...1st. Find the quotient of tiie parts under the radical, and place it under tlie common radical. 2d. If the radicals have coefficients, divide the coefficient, of the dividend by that of the divisor, and prefix the result to the common radical. NOTE. — When a radical quantity...
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The Theoretical and Practical Systematic Arithmetic; Or, Arithmetic Arranged ...

David Henry Cruttenden - 1853 - 330 sider
...multiplied by 8 x 6*. Ans. 48 x 66*. CASE VI. 1. PRINCIPLE. To Divide Radical quantities. 2. RULE. Divide the coefficient of the dividend by the coefficient of the divisor, and the quantity under the radical sign of the dividend by that of the divisor. 3. Thus, dividing 6 x 14*...
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