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" ... required. Or, multiply the quantity into itself as many times, less one, as is denoted by the index of the power, and the last product will be tJie answer. "
Bonnycastle's Introduction to Algebra: Containing the Indeterminate and ... - Page 45
by John Bonnycastle - 1851 - 288 pages
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Cyclomathesis: Or, An Easy Introduction to the Several Branches of ..., Volume 4

William Emerson - Mathematics - 1764 - 582 pages
...— ~, . , i The quot,ent u PROBLEM XXIX. To involve fura quantities to any power. i RULE. Multiply the index of the quantity, by the index of the power to be raifed. Ex. i. Let v/2 be cubed. </г =iy. Then 2"ÎX3 or 2* is the cube, that is \/2' or \/8 =...
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An Introduction to Algebra: With Notes and Observations: Designed for the ...

John Bonnycastle - Algebra - 1782 - 226 pages
...""Tiff ii WT W— 10. xL—xd— PROBLEM VUI. iT« involve furd quantities to any fotuer. RULE. Multiply the index of the quantity by the index of the power to be raifed, and to the refult annex the power of the rational parts, and it will be involved as required....
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Analytical Institutions in Four Books: Originally Written in ..., Volumes 1-2

Maria Gaetana Agnesi - Calculus - 1801 - 724 pages
...powers, will eafily be performed by their exponents. For the index of any power muft be multiplied by the index of the power to which it is to be raifed ; and the index of the given power is to be divided by the index of the root to be extracted....
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The Accomplished Tutor: Or, Complete System of Liberal Education ...

Thomas Hodson - Education - 1802 - 556 pages
...quotient * Involution or Evolution of Surd Quantities. RULK. If the furd be a fimple quantity, multiply the index of the quantity by the index of the power, to which the find is to be involved ; or by the fradion, exprefling the root to which it it to be evolved; and...
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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 1 = 1...
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An Introduction to Algebra: With Notes and Observations; Designed for the ...

John Bonnycastle - Algebra - 1806 - 234 pages
...<Kd—i>+d^/b be divided by 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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The Accomplished Tutor; Or, Complete System of Liberal Education ..., Volume 2

Thomas Hodson - Arithmetic - 1806 - 488 pages
...quotient Involution or Evolution of Surd Quantities. ROLE. If the furd be a fimple quantity, multiply the index of the quantity by the index of the power, to which the ford is to be involved ; or by the fraftion, txpreffing the root to which it is to be evolved ;...
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Mathematics: Compiled from the Best Authors, and Intended to be ..., Volume 1

Samuel Webber - Mathematics - 1808 - 466 pages
...|o*. Ans. T'Ta*PR0BLEM. 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. • EXAMPLES....
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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 of 38 ? Given number...
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An Introduction to Algebra: With Notes and Observations: Designed for the ...

John Bonnycastle - Algebra - 1811 - 230 pages
...b-^-d^/b be divided by x — v/b. PROBLEM VIII. To involve surd quantities to any power. RULE. 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, and it will give the power required. EXAMPLES....
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