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" The rule of art. 28, applied to this case, in which the factors are all equal, gives for. the coefficient of the required power the same power of the given coefficient, and for the exponent of each letter the given exponent added to itself as many times... "
An Elementary Treatise on Algebra: To which are Added Exponential Equations ... - Page 130
by Benjamin Peirce - 1860 - 284 pages
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1825 - 400 pages
...all others. 2. That in finding a power of a letter the exponent is added until it is taken as many times as there are units in the exponent of the required power. Hence any quantity may be raised to any power by multiplying' its exponent by the exponent of the power to...
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1828 - 330 pages
...all others. 2. That in finding a power of a letter the exponent is added until it is taken as many times as there are units in the exponent of the required power. Hence any quantity may be raised to any power by multiplying its exponent by ike exponent of the power to...
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An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - Algebra - 1837 - 300 pages
...and Roots of Monomial*. 121. Problem. To find any power of a monomial. Solution. The rule of art. 25, applied to this case, in which the factors are all...each exponent by the exponent of the required power. 122. Corollary. An even power of a negative quantity is, by art 27, positive, and an odd power is negative....
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An Introduction to Algebra upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1844 - 280 pages
...all others. 2. That in finding a power of a letter the exponent is added until it is taken as many times as there are units in the exponent of the required power. Hence any quantity may be raised to any power by multiplying its exponent by the exponent of the power to...
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Ray's Algebra Part Second: An Analytical Treatise, Designed for High Schools ...

Joseph Ray - Algebra - 1852 - 408 pages
...ANY REQUIRED POWER. — Multiply the given quantity by itself, until it is taken as a factor as many times as there are units in the exponent of the required power. REMAKE. — This rule is perfectly general, and applies either to monomials or polynomials, whether...
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An Elementary Treatise on Algebra: To which are Added Exponential Ewquations ...

Benjamin Peirce - Algebra - 1855 - 308 pages
...places of decimals. Ans. 0.941 -f. 7. Find the 3d root of 15f to 3 places of decimals. Ans. 2.502 +. Power of a Monomial. CHAPTER V. POWERS AND ROOTS....negative. 195. EXAMPLES. 1. Find the third power of 2 a2 b5 c. Ans. 8 ae b15 c3. 2. Find the mth power of an. Ans. am B. 3. Find the — mth power of an....
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An Elementary Treatise on Algebra: To which are Added Exponential Ewquations ...

Benjamin Peirce - Algebra - 1855 - 296 pages
...places of decimals. Ans. 0-873 +. 6. Find the 3d root of g to 3 places of decimals. Ans. 0-941 -f. 7. Find the 3d root of 15f to 3 places of decimals....units in the exponent of the required power. Hence liaise the coefficient of the given monomial to the required power ; and multiply each exponent by...
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Bryant and Stratton's Commercial Arithmetic: In Two Parts. Designed for the ...

Emerson Elbridge White - Arithmetic (Commercial), 1861 - 1861 - 348 pages
...or by taking it three times as a factor. 2304 1152 13824, 3d power. RULE. — Multiply the number by itself as many times as there are units in the exponent of the power, LESS ONE. The tost product mil be the required power. NOTE. — The power of a fraction, either...
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New Elementary Algebra: in which the First Principles of Analysis are ...

Benjamin Greenleaf - 1863 - 338 pages
...effected, as is evident from the definition of a power, by taking the given quantity as a factor as many times as there are units in the exponent of the required power. 187, When the quantity to be involved is positive, all the powers will be positive. • For, any positive...
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New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - Algebra - 1863 - 432 pages
...to involve a quantity which is already a power, the exponent of the quantity will be taken as many times as there are units in the exponent of the required power. Thus, (a1")" = a-Xa" = «"+" = «"" 5 (a"*)' = o"XamXo" = «"+"+" = a*". And in general, a" raised...
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