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To involve a quantity that is already a power, RULE. — Multiply the index of the given number by the index of the power to which it is to be raised. Thus, the 3d power of 22 is 26, for 22 = 2 X 2, and the 3d power of 2X2is2X2X2X2X 2"X~2 — 2 X 2 X...
The Common School Arithmetic: Combining Analysis and Synthesis ; Adapted to ... - Σελίδα 273
των James Stewart Eaton - 1873 - 327 σελίδες
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## 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 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
...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....

## Mathematics, Τόμος 1

Samuel Webber - 1808
...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....

## The Theory and Practice of Finding the Longitude at Sea Or Land: To ..., Τόμος 2

Andrew Mackay - 1809 - 8 σελίδες
...Logarithms) that h, 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 ?...

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

John Bonnycastle - 1811 - 220 σελίδες
...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....

## A Course of Mathematics: For the Use of Academies as Well as ..., Τόμος 1

Charles Hutton - 1812
...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. EXAMPLES....

## A Treatise on Algebra, in Practice and Theory: With Notes and Illustrations ...

John Bonnycastle - 1813
...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 of...

## Easy Introduction to Mathematics, Τόμος 1

Charles Butler - 1814
...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 part,...

## An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1814 - 303 σελίδες
...— ax— a=a*, 220. A quantity which is already a power, is involved by multiplying its index, into the index of the power to which it is to be raised. 1. The 3d power of a3 , is a3l"s=a* For as =aa; .and the cube of aa is aay aa x aas=aaaaaa=a° J which...