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" and — are equivalent expressions, also of and — — , we conclude that any factor may be transferred from the numerator to the denominator, or from the denominator to the numerator, by changing the sign of its exponent. "
A Course in Algebra: Being Course One in Mathematics in the University of ... - Page 25
by Charles Ambrose Van Velzer, Charles Sumner Slichter - 1888 - 216 pages
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Elements of Algebra: Tr. from the French of M. Bourdon. Revised and Adapted ...

Charles Davies - Algebra - 1835 - 378 pages
...more times. Since or' and — are equivalent expressions, also of and • 1 "' . -' , we conclude that any factor may be transferred from, the numerator to the denominator, or from the denominator to the numerator, by changing the sign of its exponent. Multiplication of Quantities...
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Elements of Algebra

Algebra - 1838 - 372 pages
...or more times. Since ap and — are equivalent expressions, also a? and — — , we conclude that any factor may be transferred from the numerator to the denominator, or from the denominator to the numerator, by changing the sign of its exponent. Multiplication of Quantities...
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Elements of Algebra

Charles Davies - Algebra - 1842 - 368 pages
...more times. Since or 1 " and — are equivalent expressions, also of and — — , we conclude that any factor may be transferred from the numerator to the denominator, or from the denominator to the numerator, by changing the sign of its exponent. Multiplication of Quantities...
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Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 394 pages
...128o26(.-5+ 16c9. 24. Required the fourth power of _—£-?JL-. a+1 a4+4o2+6a2+4a+1' 258. Remark. — Any factor may be transferred from the numerator to the denominator, or from the denominator to the numerator of a fraction, by changing the sign of its exponent. 1. e?lL^xa:-2=?xI(Art....
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Elements of Algebra: Including Sturms' Theorem

Charles Davies - Algebra - 1845 - 382 pages
...positively. Thus, a~3 = — ; and a~5 = — -. a3 a5 Since, a~f = — ; and -^- = p", we conclude that, Any factor may be transferred from the numerator to the denominator, or from the denominator to the numerator, by changing the sign of its exponent. If it is required to extract...
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Elements of Algebra: Embracing Also the Theory and Application of Logarithms ...

Davis Wasgatt Clark - Algebra - 1846 - 374 pages
...Required the fourth power of Jlns. ---- i -- a 4 +4a 2 +6a 2 +4a+l ., 4096a 2 a; '2 «- 2 258. Remark. — Any factor may be transferred from the numerator to the denominator, or from the denominator to the numerator of a fraction, by changing the sign of its exponent. yyy x 2...
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Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ...

Charles Davies - Algebra - 1860 - 412 pages
...we divide 1 by both members of this equation, we shall have, un — — : hence, we conclude that, Any factor may be transferred from the numerator to the denominator, or from the denominator to the numerator, by changing the sign of its exponent. 167. It may easily be...
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Electric Lighting and Power Distribution: An Elementary Manual of ..., Volume 2

William Perren Maycock - Electric engineering - 1903 - 716 pages
...of 10 -', the first being 100,000 and the second - —-1 — . lOO)OOO Any factor in an expression may be transferred from the numerator to the denominator, or vice versa, by altering the sign of its powet index. When the number of lines cut per sec. is considered, we must...
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Texas School Journal, Volume 24

Education - 1906 - 592 pages
...(Answer eight.) 1. Show the need of negative numbers, and illustrate their interpretation. 2. Prove that any factor may be transferred from the numerator to the denominator, or from the denominator to the numerator, by changing the sign of its exponent. 3. A father is n times...
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