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" 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*~". "
Elementary Algebra: First Year Course - Page 50
by Florian Cajori, Letitia Rebekah Odell - 1915
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New Elementary Algebra: in which the First Principles of Analysis are ...

Benjamin Greenleaf - 1863 - 338 pages
...been obtained at once, by taking the difierence of the exponents, 5 and 3. Hence, The exponent of a letter in the quotient is equal to its exponent in the dividend, diminished by its exponent in the divisor. In division what do like signs produce ? Unlike signs ?...
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New Elementary Algebra: Designed for the Use of High Schools and Academies

Benjamin Greenleaf - Algebra - 1879 - 376 pages
...been obtained at once, by taking the difference of the exponents, 5 and 3. Hence, The exponent of a letter in the quotient is equal to its exponent in the dividend, diminished by its exponent in the divisor. In division what do like signs produce ? Unlike signs ?...
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University Algebra

Webster Wells - Algebra - 1879 - 468 pages
...quantity as when multiplied by a3 will produce a3. That quantity is evidently a2. Hence, The exponent of a letter in the quotient is equal to its exponent in the dividend diminished by its exponent in the divisor. Or, in general, am -=- a" = am~n. 94. If we apply the rule...
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The Collegiate Algebra: Adapted to Colleges and Universities

James Bates Thomson, Elihu Thayer Quimby - Algebra - 1880 - 360 pages
...principles already established. (Art. i28.) That is, The quotient will have the sign —, with an exponent equal to its exponent in the dividend minus its exponent in the divisor. Take the following example : , quotient. SOLUTION. — Cancelling or removing the factors of this divisor...
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A Complete Course in Algebra

Webster Wells - 1885 - 368 pages
...multiplied by «3, will produce cf. That quantity is evidently a? ; hence 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, — = ara~". a" DIVISION OF MONOMIALS. 90. We derive from Arts. 87, 88, and 89 the following...
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A Complete Course in Algebra for Academies and High Schools

Webster Wells - Algebra - 1885 - 370 pages
...when multiplied by will produce as. That quantity is evidently a2 ; hence 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*~". DIVISION OF MONOMIALS. 90. We derive from Arts. 87, 88, and 89 the following...
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A Complete Course in Algebra for Academies and High Schools

Webster Wells - Algebra - 1885 - 382 pages
...multiplied by a3 will produce a?. That quantity is evidently a2 ; hence That is, the exponent of a letter in the quotient is equal to its exponent in the dividend minus its exponent in the divisor. CLm For example, — = am~n. a" DIVISION OF MONOMIALS. 90. We derive from Arts. 87, 88, and 89 the...
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A Complete Course in Algebra for Academies and High Schools

Webster Wells - Algebra - 1885 - 324 pages
...To the quotient of the coefficients annex the literal quantities, giving to each letter an exponent equal to its exponent in the dividend minus its exponent in the divisor. Make the quotient + when the dividend and divisor have like signs, and — when they have unlike signs....
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The Normal Elementary Algebra: Containing the First Priniples of the Science ...

Edward Brooks - Algebra - 1888 - 344 pages
...coefficient of the quotient. II. Write the letters of the dividend in the quotient, giving each an exponent equal to its exponent in the dividend minus its exponent in the divisor. III. Make the quotient positive when the two terme have like signs, and negative when they have unlike...
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The Normal Elementary Algebra: Containing the First Principles of the ...

Edward Brooks - Algebra - 1888 - 190 pages
...coefficient of the quotient. II. Write the letters of the dividend in the quotient, giving each an exponent equal to its exponent in the dividend minus its exponent in the divisor. If I. Make the quotient positive when the two terms have like fi, and negative when they have unlike...
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