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" 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 Elementary Treatise on Algebra, Theoretical and Practical: With Attempts ... - Side 41
av John Radford Young - 1838 - 324 sider
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1814 - 304 sider
...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 raised. This rule comprehends all the instances which can occur "m involution. But it will be proper to give...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1820 - 352 sider
...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 in involution. But it will be proper to give...
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The New American Practical Navigator: Being an Epitome of Navigation ...

Nathaniel Bowditch - 1826 - 732 sider
...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 - 276 sider
...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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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1827 - 352 sider
...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 in involution. But it will be proper to give...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 sider
...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 to the product of their powers. The square of...
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An Elementary Treatise on Algebra, Theoretical and Practical: With Attempts ...

John Radford Young - 1839 - 332 sider
...also similarly represented : Thus, the square or second power of abc is (abc)1, or abc , or cfWc1, the third power is (abc)3, &c. (36.) If the simple...must be multiplied by the index of the power to which fhe quantity is to be raised : Thus, the second power of a3 is a6, because a3 X a3 also, the rath power...
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

James Bates Thomson - 1844 - 272 sider
...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 1 x 1 x Ixl, &e. =1. 166. A single letter is...
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A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845 - 444 sider
...multiplication of the quantity into itself, till the number of factors amount to the number of units in the index of the power to which the quantity is to be involved; thus, the square of a is a X a=a2 ; the 5th power of x is xxxxx=x5 ; the 5th power of (2a)...
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The New American Practical Navigator; Being an Epitome of Navigation ...

Nathaniel Bowditch - 1846 - 854 sider
...less than unity. INVOLUTION BY LOGARITHMS. ROLE. Multiply the logarithm of the number ¡riven, by tho index of the power to which the quantity is to be raised ; the product will he the logarithm of the power sought. But in raising the powers of any decimal fraction,...
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