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" RULE. Raise the numerical coefficient to the required power, and multiply the exponent of each letter by the exponent of the required power. "
University Algebra - Page 149
by Webster Wells - 1879 - 444 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 - 320 pages
...as 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
...that 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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An Elementary Treatise on Algebra: For the Use of Students in High Schools ...

Thomas Sherwin - Algebra - 1856 - 318 pages
...multiplying this exponent. Hence we have the following RULE FOR RAISING A MONOMIAL TO ANY POWER. Jl.ai.se 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 - 1862 - 252 pages
...that 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
...the 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,...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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New Higher Algebra: An Analytical Course Designed for High Schools ...

Benjamin Greenleaf - Algebra - 1864 - 420 pages
...and the rule for multiplication, we have, for raising a monomial to any power, the following RULE. Raise the numerical coefficient to the required power,...odd power the same as that of its root. EXAMPLES. 1. Required the third power of — 3a2i. (_3a2i)3 — —BsaKbs = — 27o8J3. 2. Raise a2x to the second...
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Common School Algebra

Thomas Sherwin - 1864 - 260 pages
...power by multiplication. Hence we have the following RULE FOR RAISING A MONOMIAL TO ANY POWER. Jitiisc 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 pouter of a product...
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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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