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" 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. "
On the study and difficulties of mathematics [by A. De Morgan]. - Side 25
av Augustus De Morgan - 1831
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Rudimentary Treatise on Logarithms

Henry Law - 1853 - 84 sider
...divide a power of a given quantity by any other power of the same quantity, it is only necessary to subtract the exponent of the divisor from the exponent of the dividend to obtain the exponent of their quotient. Thus, let it be required to divide sf by x, we have of' -r...
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A Treatise on Algebra

Elias Loomis - 1855 - 356 sider
...some cases, 10 negative exponents. Thus, let it be required to divide a' by a5. We are directed to subtract the exponent of the divisor from the exponent of the dividend. We thus obtain But a' divided by a' may be written — ; and since the value of a fraction is not altered...
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The Common School Arithmetic: Combining Analysis and Synthesis; Adapted to ...

James Stewart Eaton - 1862 - 320 sider
...involving a power? > \ 349. To divide a power of a number by any other power of the same number : RULE. Subtract the exponent of the divisor from the exponent of the dividend. 16. Divide 5 7 by o 3 . Ans. 5 7 ^- 5 3 = 5 4 , for 5 7 H- o 3 = ~ — 5X5X5X5X5X5X5 _- vr j v5vJ5...
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New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - 1863 - 432 sider
...— c. « — с 87. In dividing any power of a quantity by any other power of the same quantity, we subtract the exponent of the divisor from the exponent of the dividend, to obtain the exponent of the quotient. Thus, а'-т-а'=а'""а = а8 ; a'-í-a*=a''~*=at And in general,...
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The Common School Arithmetic: Combining Analysis and Synthesis ; Adapted to ...

James Stewart Eaton - 1864 - 322 sider
...involving a power? 349. To divide a power of a number by any otber pdwer of the same number : RULE. Subtract the exponent of the divisor from the exponent of the dividend. 5r 16. Divide 57 by 53. Ans. 57 4- 53 = 54, for 57 -f- 5s = -3 — K vx f) '*is ^) ^^ ^ sy' ^ \f ^)...
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New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - 1864 - 444 sider
...— c. a — c 87. In dividing any power of a quantity by any other power of the same quantity, we subtract the exponent of the divisor from the exponent of the dividend, to obtain the exponent of the quotient. Thus, a'-Ha'=al-'=a*; o'-ia'=oT-l=o4 And in general, we have...
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Elements of Algebra: For Colleges, Schools, and Private Students, Bok 2

Joseph Ray - 1866 - 420 sider
...we derive the following rule. Where the exponents of a quantity are fractional, To Divide, Rule.— Subtract the exponent of the divisor from the exponent of the dividend. J Perform the operations indicated in each of the following examples : 42 __1 2 7 1 .. „ Xa3, and...
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Practical Arithmetic, Embracing the Science of Numbers and the Art of ...

John Fair Stoddard - 1868 - 428 sider
...Divide 2' by 25. ANALYSIS.— The analysis is the reverse of the above. 2§-5-2*= 28~'=2'=8. Rule. — Subtract the exponent of the divisor from the exponent of the dividend. 2. 47-r-4'=? Ans. 256. 3. 6'+65=? Ans. 36. 4. 12" -f-126=? Ans. 1728. 5. 12s-^-12s=? Ans. 144. 6. 2"-=-...
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Stoddard's Complete Arithmetic: Being the New Practical Arithmetic of the ...

John Fair Stoddard - 1888 - 480 sider
...25. ANALYSIS. — The analysis is the reverse of the above. 2"-f-25= 8—5 _ 03 _ o = 4 =O. Rule. — Subtract the exponent of the divisor from the exponent of the dividend. Ans. 6. 2'-r-24=? .4ns. Ans. 2. 47-r-4'=? a 6'-^6s=? Ans. 36. 4. 12"^12°= ? Ans. 1728. 405* To involve...
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Elementary Algebra: Designed as a First Book of Algebra for All Grades of ...

Thomas K. Brown - 1879 - 292 sider
...EXERCISE. Add Subtract .Ги muKiplication of powers of the same quantity add the exponents. In division subtract the exponent of the divisor from the exponent of the dividend. NOTE. — If the exponent in the result is 0, the quantity is equal to 1, and is usually omitted as...
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