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" ... be the power 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. "
An Introduction to Algebra: With Notes and Observations : Designed for the ... - Page 45
by John Bonnycastle - 1837 - 282 pages
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Cyclomathesis: Or, An Easy Introduction to the Several Branches of ..., Volume 4

William Emerson - Mathematics - 1764 - 582 pages
...by \/ab — ~, . , 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"X3 or 2* is the cube, that is \/2' or \/8 =...
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A Treatise of Algebra: In Two Books ...

William Emerson - Algebra - 1780 - 574 pages
...ar $d power* a + 3 aa ~$- ab -}- # + fquare aa + 2^ ^ -h a* + 2 aab -{- a + aa& + 2 cube 2 RULE, Multiply the index of the quantity* by the index of the power, and make the figns as in Ruk z. Ex. 4* root a or a1 .— 2tta; w 2&a fquare a1 X2 or a* + 4 52 X' ^...
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An Introduction to Algebra: With Notes and Observations: ... By John ...

John Bonnycastle - 1782 - 272 pages
...— b + d-/brx— \S=x + ^b — d' PROBLEM VIII. To involve Jurd quantities to any power. RUL E. 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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An Introduction to Algebra: With Notes and Observations: Designed for the ...

John Bonnycastle - Algebra - 1782 - 226 pages
...into itfelf as often as is denoted by the index, and the laft produft will be the power required. Or Multiply the index of the quantity by the index of the power, and the refalt will be the fame as before. Note, When the fign of the root is + all the powers of it...
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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
...units, except one, and the lad prodixft will be the required power ; or, which is more convenient, multiply the index of the quantity by the index of the power. Thus, let it be required to wife the quantities i+c and b — c to the third power, or the cube. I...
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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
...units, except one, and the laft product will be the required power ; or, which is more convenient, multiply the index of the quantity by the index of the power. Thus, let it be required to raife the quantities #-fc aud b — c to the third power, or the cube....
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Mathematics: Compiled from the Best Authors, and Intended to be ..., Volume 1

Samuel Webber - Mathematics - 1808 - 466 pages
...many times as there are units in the index, and the last product will be the power required. Or, s s. Multiply the index of the quantity by the index of the power^ and the result will be. the power required. EXAMPLES. a root : square -^ — a3 =cube a4 = 4th power...
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