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Books Books 1 - 10 of 39 on MULTIPLY THE QUANTITY INTO ITSELF, TILL IT is TAKEN AS A FACTOR, AS MANY TIMES AS....  
" 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. "
An introduction to algebra: being the first part of a Course of mathematics ... - Page 87
by Jeremiah Day - 1827 - 332 pages
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volume 1

Mathematics - 1801
...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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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1814 - 303 pages
...the quantity into itself, till it is taken at a•Jctctor, as many times as there are units in tfte index of the power to which the quantity is to be...rule comprehends all the instances which can occur "m involution. But it will be proper to give an explanation, ef the manner ia which it is applied to...
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Practical and mental arithmetic: designed principally to accompany Daboll's ...

Roswell Chamberlain Smith, Nathan Daboll - Mathematics - 1826 - 107 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...
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The New American Practical Navigator: Being an Epitome of Navigation ...

Nathaniel Bowditch - Nautical astronomy - 1826 - 617 pages
...both the divisor and 32 INVOLUTION BY LOGARITHMS. HULK. Multiply the logarithm of the number given, by the index of the power to which the quantity is to be raised, the product will be the logarithm of the power sought. But in raising the powers of any decimal fraction...
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Elements of arithmetic, algebra and geometry

George Lees - 1826
...Quantities. Ex. 1. Required the third power of 2a+36. ga-r-36 Square = Cube = 8a3+36a2H*4a62+2763When the index of the power to which the quantity is to be raised, is a large number, this process of continued multiplication would evidently become extremely tedious...
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Practical and mental arithmetic on a new plan: in which mental arithmetic is ...

Roswell Chamberlain Smith - Arithmetic - 1827 - 196 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...
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A treatise on arithmetic: designed particularly as a text for classes in ...

Frederick Augustus Porter Barnard - Arithmetic - 1830 - 288 pages
...involved. Hence, to involve a number, ; MULTIPLY IT BY ITÖELF UNTIL IT IS EMPLOYED A3 A FACTOR, AS OFTEN AS THERE ARE UNITS IN THE INDEX OF THE POWER, TO WHICH IT IS TO 11E RAISED. Involution may be abbreviated, by multiplying together any two or more poicTS...
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A treatise on arithmetic: designed particularly as a text for classes in ...

Frederick Augustus Porter Barnard - Arithmetic - 1830 - 288 pages
...involved. Hence, to involve a number, MULTIPLY IT BY ITSELF UNTIL IT IS EMPLOYED A3 A FACTOR, AS OFTEX AS THERE ARE UNITS IN THE INDEX OF THE POWER, TO WHICH IT IS TO EE RAISED. Involution may be abbreviated, by multiplying together any two or more powTS of...
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The teacher's assistant in the "Course of mathematics adapted to the method ...

Jeremiah Day - Mathematics - 1836 - 472 pages
...exponent shows how often a quantity is taken as a factor in u product. Rule for involving a quantity. Multiply the quantity into itself, till it is taken...of the power to which the quantity is to be raised. The power of the product of several factors, is equal to the product of their powers. The square of...
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Treatise on the elements of algebra

James Bryce - 1837
...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...
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