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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*~". "
Complete School Algebra - Page 83
by Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - 1919 - 507 pages
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A Short Course in Higher Algebra: For Academies, High Schools, and Colleges

Webster Wells - Algebra - 1889 - 584 pages
...multiplied by л", will produce a5. That quantity is evidently a2 ; hence c? That is, the exponent of a letter in the quotient is equal to its exponent in the dividend minus its exponent in the divisor. ~m For example, — = a" a" DIVISION OF MONOMIALS. 90. We derive from Arts. 87, 88, and 89 the following...
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College Algebra

Webster Wells - Algebra - 1890 - 560 pages
...monomials : To the quotient of the numerical coefficients annex the letters, giving to each an exponent equal to its exponent in the dividend minus its exponent in the divisor, and omitting any letter having the same exponent in the dividend and divisor. Example. Divide 91 afyV...
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Essentials of Algebra for Secondary Schools

Webster Wells - Algebra - 1897 - 422 pages
...a5. Now if a3 be multiplied by a2, the product is a5. Whence. — = а3. aHence, the exponent of a letter in the quotient is equal to its exponent in the dividend minus its exponent in the divisor. DIVISION OF MONOMIALS. 57. Let it be required to divide — 14 а2b by 7 a2. We find a number which,...
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The Elements of Mechanical Engineering, Volume 1

International Correspondence Schools - Electrical engineering - 1897 - 672 pages
...tlie coefficient of the dividend divided by the coefficient of the divisor. 438. The exponent of a letter in the quotient is equal to its exponent in the dividend, minus its exponent in the divisor. 439. Let it be required to divide a' by a'. We have to obtain a quotient which, when multiplied by...
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Essentials of Algebra: For Secondary Schools

Webster Wells - Algebra - 1897 - 426 pages
...of the absolute values of the numerical coefficients, annex the letters; giving to each an exponent equal to its exponent in the dividend minus its exponent in the divisor, and omitting any letter having the same exponent in the dividend and divisor. Make the quotient + when...
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Algebra, for High Schools and Colleges

Ellen Hayes - Algebra - 1897 - 244 pages
...is found common to both dividend and divisor, write its symbol once in the quotient with an exponent equal to its exponent in the dividend minus its exponent in the divisor. Give to the quotient the sign + if the dividend and divisor have like signs; otherwise give it the...
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New School Algebra

George Albert Wentworth - Algebra - 1898 - 440 pages
...coefficient of the divisor ; and to the result annex the letters, giving to each letter an exponent equal to its exponent in the dividend minus its exponent in the divisor. EXERCISE 15. Perform mentally the indicated divisions : 1. 2. 3. 4. 5. 12 ab2 6 ab 8 ac 5 жу 7 жу2«8...
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New School Algebra

George Albert Wentworth - 1898 - 436 pages
...coefficient of the diviso). ; and to the result annex the letters, giving to each letter an exponent equal to its exponent in the dividend minus its exponent in the divisor. 92. If, however, there are like terms in the expressions, every set of like terms can be replaced by...
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Arithmetic, algebra, logarithms, geometry and trigonometry, elementary ...

International Correspondence Schools - Civil engineering - 1899 - 722 pages
...to the coefficient of the dividend divided by the coefficient of the divisor. 438. The exponent of a letter in the quotient is equal to its exponent in the dividend, minus its exponent in the divisor. 439. Let it be required to divide a* by a1. Vv'e have to obtain a quotient which, when multiplied by...
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A Treatise on Chemistry and Chemical Analysis: Arithmetic, elementary ...

Analytical chemistry - 1900 - 532 pages
...equal to the coefficient of the dividend divided by the coefficient of the divisor. The exponent of a letter in the quotient is equal to its exponent in the dividend minus its exponent in the divisor. 71. Let it be required to divide a* by a1. We have to obtain a quotient, which, when multiplied by...
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