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" ... by itself as many times less one as there are units in the exponent of this power. "
Elements of Algebra - Page 30
by Silvestre François Lacroix - 1825 - 276 pages
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1819 - 574 pages
...written ; thus a is the same as a1. It is evident then, that to Jind the power of any number, it it necessary to multiply this number by itself as many times less one, as there are units in tlie exponent of the power. 25. As the exponent denotes the number of equal factors, which form the...
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Elements of Geometry

Adrien Marie Legendre - 1825 - 570 pages
...&c. The number which denotes the power of any quantity is called the exponent of this quantity. When the exponent is equal to unity it is not written ;...quantities as factors ; it follows that the expression a° in which a is five times a factor, multiplied by a3, in which a is three times a factor, ought...
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Elements of Algebra

William Smyth - Algebra - 1830 - 278 pages
...perceived, that in order to raise a letter to a given power, it is necessary to multiply it successively by itself as many times less one, as there are units in the exponent of this power. 5. Let it next be required to multiply a2 by a*. According to no. 1 the product will be...
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An Elementary Treatise on Algebra: Designed to Facilitate the Comprehension ...

Ormsby MacKnight Mitchel - Algebra - 1845 - 308 pages
...V 222. To Raise Surds to any Power. To raise any quantity to any power, we have only to multiply it by itself, as many times, less one, as there are units in the exponent of the required power. Thus, (a2)5=a2Xa2Xa2Xa2xa!!=ai!x5=a1°. Hence, in simple quantities, the power is obtained...
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An Elementary Arithmetic ...: Serving as an Introduction to the Higher ...

George Roberts Perkins - Arithmetic - 1846 - 266 pages
...Therefore, to raise a number to any power, we have the following RULE. Multiply the number continually by itself, as many times less one as there are units in the exponent ; the last product will be the power sought. What is Involution ? How do we denote that a number is...
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The United States Arithmetic: Designed for Academies and Schools

William Vogdes - Arithmetic - 1847 - 324 pages
...square of 2 ; 4x4=16 the fourth power of 2, and 16x16=256 the 8th power of 2. RULE. Multiply the given number by itself, as many times less one, as there are units in the index of the required power. 91 о с и л p *• S1 «j œ S" ~i 00 «fi 1 Er f s& F te •e о 5...
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An Elemtary Arithmetic ...: Serving as an Introduction to the Higher ...

George Roberts Perkins - Arithmetic - 1849 - 346 pages
...inches. 1 1 To raise a number to any power, we have the following RULE. Multiply the number continually by itself, as many times less one as there are units in the exponent ; the last product will be the power sought. What is Involution ? How do we denote that a number is...
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An Elementary Arithmetic Designed for Academies and Schools: Also Serving as ...

George Roberts Perkins - Arithmetic - 1851 - 356 pages
...3 feet. To raise a number to any power, we have the following RULE. Multiply the number continually by itself, as many times less one as there are units in the exponent; the last product will be the pouter sought. What is Involution? How do we denote that a number Utobe...
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Common School Algebra

Thomas Sherwin - Algebra - 1855 - 262 pages
...XXXIV. POWERS OF MONOMIALS. ART. lO'J. Any power of a quantity is found by multiplying that quantity by itself as many times, less one, as there are units in the exponent of the power. The second power of a or a1 is a . a = a1 + l = a2, (Art. 30) ; this is the same as a1 x 2. The third...
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Treatise on Algebra, for the Use of Schools and Colleges

William Smyth - Algebra - 1855 - 370 pages
...perceived, that in order to raise a letter to a given power, it is necessary to multiply it successively by itself as many times less one as there are units in the exponent of this power. 5. Let it next be required to multiply a3 by a5. According to no. 1 the product will be...
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