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" 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, it must... "
An elementary treatise on algebra, theoretical and practical - Page 39
by John Radford Young - 1844
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1814 - 304 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 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 - Algebra - 1820 - 352 pages
...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 - Nautical astronomy - 1826 - 732 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 - 276 pages
...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 - Algebra - 1827 - 352 pages
...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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An Elementary Treatise on Algebra, Theoretical and Practical: With Attempts ...

John Radford Young - Algebra - 1832 - 408 pages
...square or second power of abc is (nie)2, or abc !, or a2¿V, the third power is (abcj1, &c. (36. ) If the simple quantity be some power already, or if...raised : Thus, the second power of a3 is a6, because a" X a3 = a6 ; also, the «th power of a3 is a3ni because a3 X a3 X u3 X a3 ...... to n factors is...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...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 pages
...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 quantity be some power already, or if...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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Bowditch's Useful Tables

Nathaniel Bowditch - Navigation - 1844 - 186 pages
...quotient is less than unity. INVOLUTION BY LOGARITHMS. RULE. 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 Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

James Bates Thomson - Algebra - 1844 - 272 pages
...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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