 | Jeremiah Day - 1827 - 352 sider
...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 - 1831 - 632 sider
...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...the result annex the power of the rational parts, which will give the power required. VOL. I. 27 i EXAMPLES. 1. Required to find the square of Ja*. First,... | |
 | Charles Hutton - 1831 - 660 sider
...raise Surd Quantities to any Power. RAISE both the rational part and the surd part. Or multi. tiply the index of the quantity by the index of the power...and to the result annex the power of the rational parta, which will give the power required. EXAMPLES. 1. Required to find the square of |o-. Firs',... | |
 | Peter Nicholson - 1831 - 326 sider
...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... | |
 | 1836 - 488 sider
...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 sider
...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 - 1840 - 216 sider
...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 - 1840 - 634 sider
...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... | |
 | W. H. Crank - 1843 - 338 sider
...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 sider
...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,... | |
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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. 
