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" Raise the absolute value of the numerical coefficient to the required power, and multiply the exponent of each letter by the exponent of the required power. "
College Algebra - Page 79
by James Harrington Boyd - 1901 - 777 pages
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A New Introduction to the Science of Algebra ...

Silas Totten - Algebra - 1836 - 320 pages
...Ans. 13a-1*. -ï. L. «*— ч» 7. Divide a * by о г . Ans. a "* . FORMATION OF POWERS. RULE. (67.) Multiply the exponent of each letter by the exponent of the required power. ( £V « Thus, VirV = a3. ys / » — \а з 4. For, a'= Va*; and Wov = Va* = a3. EXAMPLES. 1. Involve...
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An Elementary Treatise on Algebra: For the Use of Students in High Schools ...

Thomas Sherwin - Algebra - 1841 - 314 pages
...multiplying this exponent. Hence we have the following RULE FOR RAISING A MONOMIAL TO ANY POWER. Raise the numerical coefficient to the required power, and multiply the exponent of each letter by the number which marks the degree of that power. It is moreover manifest that any power of a product, is...
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Common School Algebra

Thomas Sherwin - Algebra - 1855 - 262 pages
...power by multiplication. Hence we have the following RULE FOR RAISING A MONOMIAL TO ANY POWER. Raise the numerical coefficient to the required power, and multiply the exponent of each letter by the number which marks the degree of that power. It is manifest, moreover, that • Any power of a product...
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Common School Algebra

Thomas Sherwin - 1862 - 252 pages
...power by multiplication. Hence we have the following RULE FOR RAISING A MONOMIAL TO ANY POWER. Raise the numerical coefficient to the required power, and multiply the exponent of each letter by the number which marks the degree of that power. It is manifest, moreover, that Any power of a product...
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New Elementary Algebra: in which the First Principles of Analysis are ...

Benjamin Greenleaf - 1863 - 338 pages
...exponent of the power. Hence, for raising, a monomial to any power, we have the following i RULE. Raise the numerical coefficient to the required power, and...each letter by the exponent of the required power. NOTE. If the quantity involved is positivo, all its powers will be positive (Art. 187) ; but if it...
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Primary Elements of Algebra: For Common Schools and Academies

Joseph Ray - Algebra - 1866 - 250 pages
...odd powers negative. Hence, TO RAISE A MONOMIAL TO ANY GIVEN POWER, Rule. — 1. Raise the numeral coefficient to the required power, and multiply the exponent of each letter by the exponent of the power. 2. If the monomial is positive, all the powers will be positive; if negative, the even powers...
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Ray's Algebra, First Book: Primary Elements of Algebra, for Common ..., Book 1

Joseph Ray - Algebra - 1866 - 252 pages
...negative. Hence, TO RAISE A MONOMIAL TO ANY GIVEN POWER, Rule. — 1. Raise the numeral coefficient to. iKe required power, and multiply the exponent of each letter by the exponent of the power. 1. Find the square of 3ax*y* ..... Ans. 9aV/. 2. Square of 56V ........ Ans. 256V. 3. Cube of...
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A Treatise on Algebra

Elias Loomis - Algebra - 1868 - 386 pages
...Boots of Monomials. 194. According to Art. 184, in order to raise a monomial to any power, we raise the numerical coefficient to the required power, and multiply the exponent of each of the letters by the exponent of the power required. Hence, conversely, to extract any root of a monomial,...
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A Treatise on Algebra

Elias Loomis - Algebra - 1873 - 396 pages
...be raised to any power. Hence, to raise a monomial to any power, we have the following RULE. Raise the numerical coefficient to the required power, and multiply the exponent of each of the letters by the exponent of the required power. 185. Sign of the Power. — With respect to the...
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An Elementary Algebra

Daniel Barnard Hagar - Algebra - 1873 - 278 pages
...to be involved is affected by a fractional exponent, the involution may be performed by multiplying the exponent of each letter by the exponent of the required power. Dividing the index of the root produces the same effect as multiplying the fractional exponent. 1....
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