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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 ... - Σελίδα 9
των George Roberts Perkins - 1851 - 342 σελίδες
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and Colleges

George Roberts Perkins - 1841 - 274 σελίδες
...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...

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

Davis Wasgatt Clark - 1844 - 394 σελίδες
...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...

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

Davis Wasgatt Clark - 1846 - 374 σελίδες
...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...

The United States Arithmetic: Designed for Academies and Schools

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

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...

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
...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...

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....

The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - 1857 - 452 σελίδες
...exponent of each power raised. Hence the RULE. — Multiply the given number into itself, till it has been used as a factor as many times as there are units in the exponent of the power to which the number is to be raised. NOTE 1. — The number of multiplications will always...




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