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" ... as many times as there are units in the exponent of the required power. Hence... "
An Elementary Treatise on Algebra: To which are Added Exponential Equations ... - Page 110
by Benjamin Peirce - 1837 - 288 pages
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1825 - 372 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 - 276 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 - 1843 - 308 pages
...and Knots of Monomials. 193. Problem. To find any power of a monomial. Solution. The rule of art. 28, applied to this case, in which the factors are all...there are units in the exponent of the required power. Henoe Raise the coefficient of the given monomial to the required power ; and multiply each ezponent...
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An Introd. to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1844 - 276 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 - 410 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 Equations ...

Benjamin Peirce - Algebra - 1858 - 296 pages
...and Roots of Monomials. 193. Problem. To find any power of a monomial. Solution. The rule of art. 28, applied to this case, in which the factors are all...for the exponent of each letter the given exponent ,..,,, ,4 added 4e-itself as many times as there are units in the exponent of the required power. Hence...
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Bryant and Stratton's Commercial Arithmetic: In Two Parts. Designed for the ...

Emerson Elbridge White - Arithmetic (Commercial), 1861 - 1861 - 332 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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A Written Arithmetic, for Common and Higher Schools: To which is Adapted a ...

George Augustus Walton - Arithmetic - 1864 - 368 pages
...powers. 383. Any power may be obtained by the following RULE. Employ the given number as a factor as many times as there are units in the exponent of the required power. EXAMPLES. 1. Find the squares of the integers from 1 to 25 inclusive, end commit them to memory.* Numbers,...
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