 | Charles Hutton - Mathematics - 1822 - 616 pages
...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 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 - 1825 - 336 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... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...«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. •... | |
 | Jeremiah Day - Algebra - 1827 - 352 pages
...And— aX — a=o2. 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 a*X3 =a6. For a3=aa : and the cube of aa is aaXaoXoa=ofloaao=o8 : which is... | |
 | Charles Hutton - Mathematics - 1831 - 632 pages
...or raise Surd Quantities to any Power. RAISE both the rational part and the surd part. Or multitiply 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. VOL. I. 27... | |
 | Peter Nicholson - Algebra - 1831 - 326 pages
...fifth power of x is xh ; the fifth power of x+y is W When the quantity to be raised is itself a power ; multiply the index of the quantity by the index of the power; thus, the cube of a2 is a6=a-x3 ; or, generally, let m or n represent any powers whatever, then xm... | |
 | Mathematics - 1836 - 488 pages
...powers are positive. 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. A fraction is involved by involving both numerator and denominator. Powers may be added by writing... | |
 | Thomas Kerigan - Nautical astronomy - 1838 - 804 pages
...freshened. PROBLEM VI. To perform Involution by Logarithms. RULE. • Multiply the log. of the given number by the index of the power to which it is to be raised, and the product will be the log. of the required power. Example 1. Required the square of 346 ? 346 Log. ...... | |
 | John D. Williams - Algebra - 1840 - 216 pages
...the numerator and denominator to the same power. When the quantity to be raised is itself a power, multiply the index of the quantity by the index of the power ; thus the cube of a2 is a5 = a2*3 ; or generally let m or n represent any powers whatever ; then zm,... | |
 | John D. Williams - Algebra - 1840 - 634 pages
...the numerator and denominator to the same power. When the quantity to be raised is itself a power, multiply the index of the quantity by the index of the power ; thus the cube of <z2 is a6 = a2*3 : or generally let m or n represent any powers whatever ; then... | |
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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. 
