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" Multiply the index of the quantity by the index of the power to which it is to be raised, and the result will be the power required. "
Analytical Institutions in Four Books: Originally Written in Italian - Page xxvii
by Maria Gaetana Agnesi - 1801
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The Principles of Algebra

William Frend - Algebra - 1796 - 688 pages
...number may be eafily found by the logarithmic tables, by multiplying the logarithm of the number into the index of the power to which it is to be raifed, and taking the number corre» fponding to the logarithm thus found out of the tables. In the fame manner...
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The shipwright's vade-mecum [by D. Steel].

David Steel - 1805 - 392 pages
...20140 20l4=Iogarithm of 159, the Answer. INVOLUTION BY LOGARITHMS. MULTIPLY the logarithm of the root by the index of the power to which it is to be raised ; the product is the logarithm of the answer. Required the 5th power of 1 1 . Logarithm of 1...
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An Introduction to Algebra: With Notes and Observations; Designed for the ...

John Bonnycastle - Algebra - 1806 - 234 pages
...x—^/b. PROBLEM VIII. To involve surd quantities to any poiaer. RULE. Multiply the index of the quantity by the index of the power to which it is to be railed, and to the refult annex the power of the rational parts, and it will give the power required....
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Mathematics: Compiled from the Best Authors, and Intended to be ..., Volume 1

Samuel Webber - Mathematics - 1808 - 466 pages
...VIII. To involve, or raise, surd quantities to any pewer. HULK. / ? Multiply the index of the quantity by the index of the power, to which it is to be raised, and annex the result to the power of the rational parts, and it will give the power required....
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The Theory and Practice of Finding the Longitude at Sea Or Land ..., Volume 2

Andrew Mackay - Latitude - 1809 - 414 pages
...toßnd the Square, Cube, c^c. nf 'any given Number, RULK. Multiply the logarithm of the given number by the index of the power to which it is to be raised, and the product will be the logarithm of the power sought. EXAMPLES. I. Required the square...
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A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - Mathematics - 1812 - 620 pages
...to any Power. RAISE both the rational part and the surd part. Or multiply the index of the quantity by the index of the power to •which it is to be raised, and to the result annex the power of the rational parts, which will give the power required....
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A Treatise on Algebra, in Practice and Theory: With Notes and ..., Volume 1

John Bonnycastle - Algebra - 1813 - 456 pages
...power less one, and the last product will be the power required. Or, multiply the index of the quantity by the index of the power to which it is to be raised, and the result will be the same as before. Note. When the sign of the root is + , all the powers...
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Easy Introduction to Mathematics, Volume 1

Charles Butler - 1814 - 540 pages
...required, for the rational part of the power, (Art. 265 to 267. Part I.) II. Multiply the index of the surd by the index of the power to which it is to be raised, and the product will be the surd part. III. Annex the rational part of the power to the surd...
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An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - Algebra - 1818 - 284 pages
...the square, cube, biquadrate, &c. of any given quantity. RULE I. Multiply the index of the quantity by the index of the power to which it is to be raised, and the result will be the power required. Or multiply the quantity into itself as many times...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - Mathematics - 1822 - 616 pages
...to any Power. RAISE both the rational part and the surd part. Or multiply the index of the quantity by the index of the power to which it is to be raised, and to the result annex the power of the rational parts, which will give- the power required....
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