 | Charles Hutton - 1811 - 406 sider
...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 result annex the power of the rational parts, which will give the power required. EXAMPLES. • M 1. Required to find the square of -JaT. First,... | |
 | Charles Hutton - 1812 - 620 sider
...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 result annex the power of the rational parts, which will give the power required. EXAMPLES. 1. Required to find the square of ^a*. First. (|)» =... | |
 | John Bonnycastle - 1813 - 456 sider
...negative index. 6. Let o(a2 — Xe) T be expressed with a positive index. CASE VIH. To involve, or raise, surd quantities to any power. RULE. Multiply the index of the quantity by the пшп(è) This expression, properly speaking, is only ttie result of an operation, to which we are... | |
 | Charles Butler - 1814 - 540 sider
...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... | |
 | Jeremiah Day - 1814 - 304 sider
...— 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 - 1816 - 610 sider
...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 - 1818 - 284 sider
...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 the power to which it is to be raised, and the result will be the power required. Or multiply the quantity into itself as many times less one... | |
 | Charles Hutton - 1822 - 616 sider
...Involve or Raiie Surd ({uantitiei to any Power. RAISE both the rational part and the surd part. Or multiply the index of the quantity by the index of...the result annex the power of the rational parts, which will give- the power required. EXAMPLES. 1. Required to find the square of Ja*. First, (f)3=jxj=«TV,... | |
 | John Bonnycastle - 1825 - 336 sider
...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 the power to which it is to be raised, and the result will be -the power required. Or multiply the quantity into itself as many times less one... | |
 | Peter Nicholson - 1825 - 1046 sider
...«any factors as there are units in the index, and the last product will be tbe power required. Or, Multiply the index of the quantity by the index of the power, and the result will be the same as before. Examples. 1 . Required the cube of 2a*. Ant. 8ae. 2. •... | |
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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. 
