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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 - Page 155
by Charles Davies - 1840 - 252 pages
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Common School Algebra

Thomas Sherwin - Algebra - 1855 - 262 pages
...ART. 48. From what precedes, we deduce the following RULE FOR DIVIDING ONE MONOMIAL BY ANOTHER. 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 they have the same exponents...
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A Treatise on Algebra

Elias Loomis - Algebra - 1855 - 356 pages
...exponent of the dividend. (67.) Hence, for the division of monomials, we have the following RULE. 1. Divide the coefficient of the dividend by the coefficient of the divisor. 2. Subtract the exponent of each letter in the divisor from the exponent of the same letter in the...
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Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...factors. 3. To divide one radical by another. Reduce them to equivalent radicals having the same index ; divide the co-efficient of the dividend by the co-efficient of the divisor for a new co-efficient ; after this, write the common radical sign, and under it the quotient of the...
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The Elements of Algebra

Elias Loomis - Algebra - 1856 - 280 pages
...the exponent of the dividend. Hence, for the division of monomials, we have the following RULE. I. Divide the coefficient of the dividend by the coefficient of the divisor. 2' Subtract the exponent of each letter in the divisor from the exponent of the same letter in the...
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The University Algebra ...

John Fair Stoddard, William Downs Henkle - Algebra - 1859 - 538 pages
...one radical by another. RULE. Reduce the radicals to equivalent ones expressing the same root, and divide the coefficient of the dividend by the coefficient of the divisor for the coefficient of the quotient, and the radical part of the dividend by the radical part of the...
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New Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1859 - 324 pages
...Radical quantities are divided like other algebraic quantities ; hence, we have the following RULR. L Divide the coefficient of the dividend by the coefficient of the divisor, for а neto coefficient : П. Divide the quantities under the radicals, in the same amter : Ш. Т...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1860 - 328 pages
...Divide one of the quantities under the radical si1jn by the other, and place the common radical siyn over the quotient. II. If the radicals have co-efficients,...of the divisor, and place the quotient before the radical, found as above. Thus, У- — =\/-j- ; for the squares of these two a expressions are each...
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Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ...

Charles Davies - Algebra - 1860 - 412 pages
...similar manner upon any two monomials, we have for the division of monomials the following RULE. I. Divide the co-efficient of the dividend by the co-efficient of the divisor, for a new co-efficient. II. Write after this co-efficient, all the letters of the dividend and give...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1861 - 322 pages
...under the radical sign by the other, and place the common radical sign over the quotient. II. If Ilic radicals have co-efficients, divide the co-efficient...by the co-efficient of the divisor, and place the ^wtieut before the radical, found as above. Thus, * _» / — ; for the squares of these two V/6 V...
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Common School Algebra

Thomas Sherwin - 1862 - 252 pages
...ART. 418. From what precedes, we deduce the following RULE FOR DIVIDING ONE MONOMIAL BY ANOTHER. 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 they have the same exponents...
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