| Nicolas Pike - Algebra - 1808 - 470 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... | |
| 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... | |
| John Bonnycastle - Algebra - 1811 - 230 pages
...— xd — 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.... | |
| Charles Hutton - Mathematics - 1811 - 406 pages
...Involve or Raise Surd Quantities to any Poiuer. 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.... | |
| Charles Hutton - Mathematics - 1812 - 620 pages
...To Involve or Raise Surd Quantities 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.... | |
| John Bonnycastle - Algebra - 1813 - 456 pages
...the common convention of representing the powers of quantities by numeral hidices. Ъег denoting 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 whole power required (c).... | |
| Charles Butler - 1814 - 540 pages
...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, and the... | |
| Jeremiah Day - Algebra - 1814 - 304 pages
...— 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... | |
| Charles Hutton - Mathematics - 1816 - 610 pages
...any Power. R.AI-.K both the rationul part and the surd part. Or multip.y ihe indi-x of the quant ty by the index of the power to •which it is to be raised, and 10 the result annex the power •f the rational parts, wnich will give the power required. EXAMPLES.... | |
| John Bonnycastle - Algebra - 1818 - 284 pages
...proposed root ; or the method of finding the square, cube, biquadrate, &c. of any given quantity. RULE I. Multiply the index of the quantity by the index of...will 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... | |
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