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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 ... - Σελίδα 48
των John Bonnycastle - 1834 - 312 σελίδες
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Cyclomathesis: Or, An Easy Introduction to the Several Branches of ..., Τόμος 4

William Emerson - 1764
...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"ÎX3 or 2* is the cube, that is \/2' or \/8 =...

An Introduction to Algebra: With Notes and Observations: ... By John ...

John Bonnycastle - 1782 - 201 σελίδες
...— 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....

An Introduction to Algebra: With Notes and Observations: Designed for the ...

John Bonnycastle - 1782 - 201 σελίδες
...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...

Analytical Institutions in Four Books: Originally Written in Italian, Τόμοι 1-2

Maria Gaetana Agnesi - 1801
...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....

The Accomplished Tutor: Or, Complete System of Liberal Education ...

Thomas Hodson - 1802
...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...

The shipwright's vade-mecum [by D. Steel].

David Steel - 1805
...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...

An Introduction to Algebra: With Notes and Observations; Designed for the ...

John Bonnycastle - 1806 - 208 σελίδες
...<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....

The Accomplished Tutor; Or, Complete System of Liberal Education ..., Τόμος 2

Thomas Hodson - 1806 - 458 σελίδες
...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....

A New and Complete System of Arithmetick: Composed for the Use of the ...

Nicolas Pike - 1808 - 480 σελίδες
...itself as often as is denoted by the index, and the last produft will be the power required. Or, Or, Multiply the index of the quantity by the index of the power, and the result will be the same as before. Note. When the sign of the root ii +, all the powers of...

Mathematics, Τόμος 1

Samuel Webber - 1808
...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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