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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 Colleges - Σελίδα 164
των George Roberts Perkins - 1841 - 252 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Treatise on the elements of algebra

James Bryce - 1837 - 322 σελίδες
...I. To raise a quantity to any power. RULE. 98. Multiply the quantity continually by itself, until it has been used as a factor as many times as there are units in the index of the required power. The reason of the rule is manifest from the nature of powers (Art....

Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 394 σελίδες
...l-2a~2b~"c~''d~">. Jlns. INVOLUTION OF POLYNOMIALS. 257. Multiply the polynomial by itself till it has been used as a factor as many times as there are units in the exponent denot>ng the power to which it is to be raised ; the final product will be the power required. EXAMPLES....

Elements of Algebra: Embracing Also the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1846 - 374 σελίδες
...lynomials.—Calculus of Radicals. INVOLUTION AND POWERS. 251. Involution is the multiplying a number by itself till it has been used as a factor as many times as there are units in the exponent. 252. The product thus produced is called the power of that quantity; and the power is designated first,...

The United States Arithmetic: Designed for Academies and Schools

William Vogdes - 1847 - 324 σελίδες
...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...

Ray's Algebra, Part First: On the Analytic and Inductive Methods of ..., Μέρος 1

Joseph Ray - 1848 - 250 σελίδες
...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...

Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

George Roberts Perkins - 1849 - 344 σελίδες
...of 6 and 7, respectively. 7. An exponent placed over a quantity, denotes that the quantity is to be used as a factor as many times as there are units in the exponent. Thus, 2 4 =2x2x2x2 = 16. 8. When the exponent is 2 , the result is called the second power of the quantity...

A Treatise on Algebra: For the Use of Schools and Colleges

Stephen Chase - 1849 - 348 σελίδες
...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)...

Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

George Roberts Perkins - 1850 - 356 σελίδες
...of 6 and 7, respectively. 7. An exponent placed over a quantity, denotes that the quantity is to be used as a factor as many times as there are units in the exponent. Thus, 24=2x2x2x2 = 16. 8. When the exponent is 2, the result is called the second power of the quantity...

Ray's Algebra Part Second: An Analytical Treatise, Designed for High Schools ...

Joseph Ray - 1852 - 408 σελίδες
...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...

A Practical and Theoretical Arithmetic: Designed for the Use of Schools and ...

Charles D. Lawrence - 1854 - 336 σελίδες
...that a number may be involved to any required power, by the following RULE. Employ the given number as a factor as many times as there are units in the exponent which denotes the required power, and the product of these equal factors, is the power sought. EXAMPLES....




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