 | John Bonnycastle - 1818 - 284 σελίδες
...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... | |
 | Charles Hutton - 1822 - 616 σελίδες
...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 - 1825 - 336 σελίδες
...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... | |
 | Jeremiah Day - 1827 - 352 σελίδες
...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... | |
 | Luke Hebert - 1835 - 938 σελίδες
...quotient a decimal. INVOLUTION, or the raising of powers, is performed by multiplying the logarithm of the given number by the index of the power to which it is required to be raised, thus : — 118 LOGARITHMS. NUMBERS. LOGARITHMS. 26 1-4149733 •2 Power 676... | |
 | Luke Hebert - 1836 - 942 σελίδες
...quotient a decimal. INVOLUTION, or the raising of powers, is performed by multiplying the logarithm of the given number by the index of the power to which it is required to be raised, thua : — Let 20 be squared, or raised to the second power. Again, let the... | |
 | 1836 - 488 σελίδες
...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 - 1838 - 804 σελίδες
...the breeze 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... | |
 | W. H. Crank - 1843 - 338 σελίδες
...3-709 x 524-7 X -002 Ans. 3-99011 INVOLUTION. Find the logarithm of the given number, and multiply it by the index of the power to which it is to be raised. Ex __ (1) Find the 5th power of 6-24 Ans. 9460-69 &c. Log 6-24 = -795 1846 _ 5_ Number 9460-69 = 3-9759230... | |
 | James Bates Thomson - 1844 - 272 σελίδες
...a=a2. 170. To involve a quantity which is already a power. Multiply the index of the quantity into the index of the power to which it is to be raised. QUEST. — On what principle does the method of involving a quantity which consists of several factors,... | |
| |
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... 
