 | James Stewart Eaton - 1857 - 376 sider
...— 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 2", for 22 = 2 X 2, and the 3d power of 2 X 2 is 2~X~2 X 2 X 2 X 2~X~2... | |
 | Benjamin Greenleaf - 1858 - 372 sider
...to raise any quantity to any required power, the pupil will see the propriety of the following KULE. Multiply the index of the quantity by the index of...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 + ; and when... | |
 | Elias Loomis - 1858 - 394 sider
...3a-"b. Ex. 5. Required the fifth power of — 2a6-V. (142.) A polynomial is invoiced by multiplying it into itself as many times less one as is denoted by the exponent of the power. Ex. l. Required the fourth power of a+b. a +b a +b a'+ab +ab+b' (a+by--=a'+2ab+b\... | |
 | James Stewart Eaton - 1862 - 320 sider
...5". 34S. To involve a quantity that is already a power: KULE. 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 2 2 is 2 G , for 2 2 = 2 X 2, and the 3d power of2x2is2X2X2X2X2X2 = 2X2x2X2X... | |
 | Benjamin Greenleaf - 1863 - 372 sider
...the index of the quantity by the index of the power to which it is to be raised, and the result iMl be the power required. Or, multiply the quantity into...the power, and the last product will be the answer. 175. When the sign of any simple quantity is -f", a" tne powers of it will be + ; and when the sign... | |
 | Benjamin Greenleaf - 1863 - 374 sider
...wiL =ee the propriety of the following RULE. Multiply the index of the quantity by the index of t'-e power to which it is to be raised, and the result will be the porcer required. Or, multiply the quantity into itself as many times, less one, os is denoted by the... | |
 | Benjamin Greenleaf - 1864 - 516 sider
...to raise any quantity to any required power, the pupil wil' see the propriety of the following KULE. Multiply the index of the quantity by the index of the -power to which it is to lie raised, and the result will be the power required. Or, multiply the quantity into itself as many... | |
 | Elias Loomis - 1864 - 386 sider
...b. Ex. 5. Required the fifth power'of — 2ab~'c\ (142.) A polynomial is involved by multiplying it into itself as many times less one as is denoted by the exponent of the power. Ex. 1. Required the fourth power of a+b. a+b a+b a'+ab +ab+b' (a+by—a'+2ab+b',... | |
 | Samuel Alsop - 1865 - 440 sider
...of 32768, the required power. Hence, to involve a number to a given power, we multiply its logarithm by the index of the power to which it is to be raised. 3. Required the fourth root of 4096. The index of this is 12. Divide this index by 4, the degree of... | |
 | Benjamin Greenleaf - 1867 - 376 sider
...to raise any quantity to any required power, the pupil wii! see the propriety of the following HULE. Multiply the index of the quantity by the index of...multiply the quantity into itself as many times, less ore, as is denoted by the index of the power, and the last product will be the answer. 175i When «the... | |
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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 +... 
