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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.
An Introduction to Algebra: With Notes and Observations: Designed for the ... - Page 61
by John Bonnycastle - 1811 - 220 pages

## Cyclomathesis: Or, An Easy Introduction to the Several Branches of ..., Volume 4

William Emerson - Mathematics - 1764
...al + Ъ Ъ fquare aa + гаЪ + Ь Ъ а + В _ & -\- га аЪ -\- аЪЪ cube я' + з л я £ 42 RULE. Multiply the index of the quantity, by the index of the povter, and make the figns as in Rule i. Ex. 4. root a or a1 — 2 Ъ Ъ а ; or 2 í1 e fquare й1Хгогд*...

## A treatise of algebra: in two books ...

William Emerson - Algebra - 1780 - 531 pages
...the furds to fractional indices. PROBLEM XX. \$'o reduce a rational quantity to the, form of a furd* RULE, Multiply the index of the quantity, by the index of the furd root given ; to which fet the radical fign, or index of the furd. Ex. i. Reduce 6 to the form...

## Mathematics: Compiled from the Best Authors and Intended to be the ..., Volume 1

Samuel Webber - Mathematics - 1801
...4*»S be divided by -|a3. Ans. -A^ • 9 i ^ ^ « - * :\$ ^ , tr ' * PROBLEM VIII. To involve) or raiset surd quantities to any power. * RULE. Multiply the index of the quantity by the index of tha power, to which it is to be raised; and annex the result to the power of the rational parts, and...

## Analytical Institutions in Four Books: Originally Written in ..., Volumes 1-2

Maria Gaetana Agnesi - Calculus - 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 - Education - 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...

## The Accomplished Tutor: Or, Complete System of Liberal Education ..., Volume 2

Thomas Hodson - Education - 1806
...the cube root of # by JP or % the cube root of To reduce a rational Quantity to the Form of a Surd. RULE. Multiply the index of the quantity by the index of the furd, and over the product place the radical fign, and it will be the form required. Thus, let 3 be...

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

Nicolas Pike - Algebra - 1808 - 480 pages
...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...