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" To divide powers of the same base, subtract the exponent of the divisor from the exponent of the dividend. "
Rudimentary Treatise on Logarithms - Page 5
by Henry Law - 1853 - 68 pages
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On the study and difficulties of mathematics [by A. De Morgan].

Augustus De Morgan - 1831 - 108 pages
...exponent of c. Thus c>xc3 = c7. To divide a term of the second series by one which comes before it, subtract the exponent of the divisor from the exponent of the dividend, and make this difference the exponent of c. Thus, c1 -> = <?' c4 These rules are intelligible for all...
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The North American Arithmetic: Part Third, for Advanced Scholars, Volume 3

Frederick Emerson - Arithmetic - 1834 - 300 pages
...power; as 23 X 23 X 23 = 29. Division being the reverse of multiplication, it is evident, that if we subtract the exponent of the divisor from the exponent of the dividend, the remainder is the exponent of the quotient. For example, if we divide the fifth power by the third...
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Library of Useful Knowledge: Mathematics I.

Mathematics - 1836 - 352 pages
...exponent of c. Thus c4xc3 = c7. To divide a term of the second series by one which comes before it, subtract the exponent of the divisor from the exponent of the dividend, and make this difference the exponent of c. Thus26 These rules are intelligible for all terms of the...
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The North American Arithmetic: For Advanced Scholars. part third

Frederick Emerson - Arithmetic - 1839 - 300 pages
...power; as 23 X 23 X 23 = 29. Division being the reverse of multiplication, it is evident, that if we subtract the exponent of the divisor from the exponent of the dividend, the remainder is the exponent of the quotient. For example, if we divide the fifth power by the third...
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An Algebra Upon the Inductive Method of Instruction

John H. Harney - Algebra - 1840 - 298 pages
...quotient of a2 by a? a4 by tfi? ai6 by aV2? In order to obtain the quotient of one power of a by another, subtract the exponent of the divisor from the exponent of the dividend. The remainder is the exponent of a in the quotient. 3. Divide a4 by a Лпз. a». 4. a8 by a2 5. aз...
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First Lessons in Algebra: Being an Easy Introduction to that Science ...

Ebenezer Bailey - Algebra - 1840 - 270 pages
...required to divide a power of any letter, as a5, by another power of the same letter, as a3, we must subtract the exponent of the divisor from the exponent of the dividend, and the remainder icill be the exponent of the quotient. 2. Divide a6 by a3. ANs. a3. 3. Divide a3...
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A Treatise on Algebra

Elias Loomis - Algebra - 1846 - 376 pages
...conducts in some cases to negative exponents. Thus, let it be required to divide a3 by a5. We are directed to subtract the exponent of the divisor from the exponent of the dividend. We thus obtain a3-* = a-2 But a3 divided by a5 may be written ^ ; and since the value of a fraction...
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A Treatise on Algebra

Elias Loomis - Algebra - 1846 - 380 pages
...conducts in some cases to negative exponents. Thus, let it be required to divide a3 by a5. We are directed to subtract the exponent of the divisor from the exponent of the dividend. We thus obtain But a3 divided by a5 may be written — ; and since the value Ct of a fraction is not...
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A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ...

Charles William Hackley - Algebra - 1846 - 542 pages
...general RULE FOR EXPONENTS IN DIVISION. In order to divide quantities expressed ly the same letter, subtract the exponent of the divisor from the exponent of the dividend, whatever may be the nature of the exponents. This is the same rule as that established in (Art. 17)...
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Algebra made easy

Thomas Tate (mathematical master.) - 1847 - 138 pages
...to divide a5 by a2. Here we have, g!=axaxaxaxa=qxaxa=a\ In this a? ax a case it will be seen that we subtract the exponent of the divisor from the exponent of the dividend to obtain the exponent of the quotient. Thus, we have generally, -=a«-"' ..... (1) a" v ' Let m—n in this expression, then,...
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