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" To raise a whole number or a decimal to any power, use it as a factor as many times as there are units in the exponent. "
Higher Arithmetic: Designed for the Use of High Schools, Academies, and ... - Page 11
by George Roberts Perkins - 1850 - 342 pages
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and Colleges

George Roberts Perkins - Arithmetic - 1841 - 274 pages
...number, a little to the right, is called an exponent. Thus, 6 2 , 7 3 , in these expressions, 2 and 8 are exponents of 6 and 7 respectively. 7. An exponent...to be used as a factor as many times as there are traits in the exponent. Thus, 2 4 =2X2X2X2=16. S. When the exponent is two, the result is called the...
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Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 400 pages
...little above the number, and is used to show the power to which the number is to be involved) The number is to be used as a factor as many times as there are units in the exponent. When no exponent is expressed, 1 is understood. The first power of a is - - - a, or a'. The second...
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Elements of Algebra: Embracing Also the Theory and Application of Logarithms ...

Davis Wasgatt Clark - Algebra - 1846 - 374 pages
...little above the number, and is used to show the power to which the number is to be involved. The number is to be used as a factor as many times as there are units in the exponent. When no exponent is expressed, 1 is understood. The first power of a is - - - a, or a > . The second...
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The United States Arithmetic: Designed for Academies and Schools

William Vogdes - Arithmetic - 1847 - 324 pages
...A number placed above another number, a little to the right, is called an exponent; as 32, 5s, and denotes that the quantity is to be used as a factor...as many times as there are units in the exponent, as 33=3x3x3=27. : is to ; : : so is ; : to ; the signs of proportion. v' or ^/ Signs of the square...
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ..., Part 1

Joseph Ray - Algebra - 1848 - 250 pages
...2 ART. 1*1. CASE II. RAISE A POLYNOMIAL TO ANY POWER. RULE. Find the product of the quantity, taken as a factor as many times as there are units in the exponent of the power. NOTE. — This rule, and that in the succeeding article, follow directly from the definition...
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

George Roberts Perkins - Arithmetic - 1849 - 356 pages
...another number, a little to the right, is called an exponent. Thus, in the expressions, 63, 73, * and ' are exponents of 6 and 7, respectively. 7. An exponent...many times as there are units in the exponent. Thus, 2*=2x2x2x2 = 16. 8. When the exponent is 3, the result is called the second power of the quantity over...
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

George Roberts Perkins - Arithmetic - 1849 - 344 pages
...number to be the result arising from multiplying it into itself continually, until the number has been used as a factor as many times as there are units in the exponent denoting the power. Thus, to obtain the cube, or third power of 7, we must use it as a factor three...
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A Treatise on Algebra: For the Use of Schools and Colleges

Stephen Chase - Algebra - 1849 - 348 pages
...integral power of any quantity is by continued multiplication of the quantity by itself; taking it as a factor as many times as there are units in the exponent of the power. Thus we have already found (§ 89) " (aH»)2 = (a+x)(ar\-x) = a So (a-|-a;)s = (a+x)...
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

George Roberts Perkins - Arithmetic - 1851 - 358 pages
...above another number, a little to the right, is called an exponent. Thus, in the expressions, 63, 73, " and 3 are exponents of 6 and 7, respectively. 7. An...exponent. Thus, 24=2x2x2x2 = 16. 8. When the exponent is ', the result is called the second power of the quantity over which it is placed. Thus, 7" =7x7=49...
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Ray's Algebra: Designed for High Schools and Colleges. An analytical ..., Part 2

Joseph Ray - Algebra - 1852 - 408 pages
...RAISING A QUANTITY TO 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...
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