 | James Stewart Eaton - 1873 - 358 sider
...following: To involve a quantity that is already a power, RULE. Multiply the index of the given number ly the index of the power to which it is to be raised. Thus, the 3d power of 2* is 2»; for 2* =2 X 2, and the 3d power of 2 X 2 is 2X2 X 2 X 2 X 2X2 = 2X2X2X2... | |
 | James Stewart Eaton - 1876 - 366 sider
...56. 848. 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 2X2 is 2 X 2 X 2 X 2 X 2X 2=2 X 2X... | |
 | James Pryde - 1878 - 508 sider
...15 ) To PERFORM INVOLUTION nr LOGARITHMS. Multiply the logarithm of the given number by the exponent of the power to which it is to be raised, and the product will be the logarithm of the required power. » EXAMPLE. Find the cube of 307146. L 30-7146... | |
 | James Pryde - 1878 - 520 sider
...16 ) To PERFORM INVOLUTION RY LOGARITHM8. Multiply the logarithm of the given number by the exponent of the power to which it is to be raised, and the product will be the logarithm of the required power. EXAMPLE. Find the cube of 30-7146. L 30-7146 =... | |
 | C R. Lupton - 1879 - 194 sider
...л/6 -л/2 — \/ \/ xy + y + ^/ xz — \f"yi 107. To find the powers of a surd. Multiply the exponent of ^the quantity by the index of the power to which it is to be raised. Conversely, to find the roots of a surd. Divide the exponent of the quantity by the index of the root... | |
 | Alexander Wilson (M.A.) - 1879 - 228 sider
...power by raising each factor separately : and this is effected by multiplying the index of each factor by the index of the power to which it is to be raised. Thus, (a'f = a2 . à? . a2 = a2xl = a». (4а262с)2 = 16aW. 54. — Any power of a positive quantity... | |
 | Sydney Lupton - 1882 - 374 sider
...2-8692 4-4276 4-4276 3-2017 (iii) To find the power of a number multiply the logarithm of the number by the index of the power to which it is to be raised, and the product is the logarithm of the required power. Thus 2'°. log 2 = -30103 10 log"1 3-0103 = 1024. Again... | |
 | Popular educator - 1884 - 910 sider
...QUANTITIES. To involve a radical quantity to any required power, Multiply the index of tlie root into the index of the power to which it is to be raised. EXAMPLE. — Thus the square of a* = o'x" = a*. For a$ xa$ = a'. A root « raised to a power of the... | |
 | Charles Smith - 1894 - 620 sider
...nt Thus, to raise any power of a quantity to any other .power, its original index must be multiplied by the index of the power to which it is to be raised. 199. To find (ab)1". (ab)m = ab x ab x ab... to m factors, by definition, = (aaa... to m factors) x... | |
 | Arnold Lupton - 1902 - 494 sider
...Ans. III. To raise a number to any power by logarithms. 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 required power. (1) Find the cube of 30-7140, written thua: (307146)3.... | |
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... 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 be tJie answer. 175, When the sign of any simple quantity is +, all the powers of it will be +... 
