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" Multiply the given number into itself, till it is taken as a factor, as many times as there are units in the index of the power to which the number is to be raised. "
A Theoretical and Practical Arithmetic: Designed for Common Schools and ... - Page 125
by Daniel Leach - 1853
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volume 1

1801 - 446 pages
...given quantity, , .*»«.* .'_-, .. Multiply the quantity into itself, till the quantity be taken for a factor as many times as there .are units in th,e, index, and the last product will be the power required. Multiply the index of th^ quantity by the power, and...
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Easy Introduction to Mathematics, Volume 1

Charles Butler - 1814 - 540 pages
...Binomials. To find the terms and indices. RULE 1. Write down the leading quantity successively, as many times as there are units in the index of the required power. II. Over the first of these place the index of the power ; over the second, the index decreased by...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1820 - 352 pages
...the following general rule is manifest, from the nature of powers. MULTIPLY THE QUANTITY INTO ITSELF, TILL IT is TAKEN AS A FACTOR, AS MANY TIMES AS THERE ARE UNITS IN THE INDEX OF THE POWER TO WHICH THE QUANTITY IS TO BE RAISED. This rule comprehends all the instances which can occur...
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Practical and Mental Arithmetic: Designed Principally to Accompany Daboll's ...

Roswell Chamberlain Smith - 1826 - 114 pages
...the multiplicand multiplier or both. o How many times do you multiply any number into itself? Ans. Till it is taken as a factor as many times as there are units in the index of the required power. What is the square of 4? Ans. 16. What is the exponent? Ans. 2. How many times was 4 used as a factor?...
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Practical and Mental Arithmetic on a New Plan: In which Mental Arithmetic is ...

Roswell Chamberlain Smith - 1827 - 216 pages
...Either the multiplicand, multiplier, or both. How many times do you multiply any number into itself? A. Till it is taken as a factor as many times as there are units in the index of the required power. What is the square of 4 ? A. 16. , What is the exponent ? A. 2. How many times was 4 used as a factor...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1827 - 352 pages
...the following general rule is manifest, from the nature of powers. MULTIPLY THE QUANTITY INTO ITSELF, TILL IT is TAKEN AS A FACTOR, AS MANY TIMES AS THERE ARE UNITS IN THE INDEX OF THE POWER TO WHICH THE QUANTITY IS TO BE RAISED. This rule comprehends all the instances which can occur...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 pages
...is taken as a factor in u product. Rule for involving a quantity. Multiply the quantity into itself, till it is taken as a factor, as many times as there are units in the index of the power to which the quantity is to be raised. The power of the product of several factors, is equal...
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Treatise on the elements of algebra

James Bryce - 1837 - 322 pages
...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. 14), involution being merely a succession...
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

James Bates Thomson - 1844 - 272 pages
...Hence, 165. To involve a quantity to any required power. RULE. — Multiply the quantity into itself, till it is taken as a, factor as many times as there are units in the index of the power to which the quantity is to be raised. (Art. 80.) NB All powers of 1 are the same, viz. 1. For...
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Practical Arithmetic, Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - 1846 - 402 pages
...Involution. 342. Hence, to involve a. number to any required power. Multiply the given number into itself, till it is taken as a factor, as many times as there are units in the index of the power to which the number is to be raised. (Art. 339.) Oss. 1. The number of multiplications in raising...
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