 | 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,... | |
 | Admiralty - 1845 - 152 sider
...Any power or root of a quantity with a fractional index will be expressed, by multiplying or dividing the index of the quantity by the index of the power to which it is to be raised, or root to be extracted. The square of a" =ra" xa"r=a" mmmm 9m Cube of a' =a" x a" x a" =a" m_ mj yth... | |
 | Elias Loomis - 1846 - 376 sider
...3a~nb. Ex. 5. Required the fifth power of 2ab~3c2. (142. A polynomial is involved by multiplying it into itself as many times less one as is denoted by the index of the power. Ex. 1. Required the fourth power of a + b. a + b a + b a"+ ab + ab + b3 (a + b)2 = a2 + 2ab + 62, the... | |
 | Elias Loomis - 1846 - 380 sider
...3a~nb. Ex. 5. Required the fifth power of 2o6~3c2. (142. A polynomial is involved by multiplying it into itself as many times less one as is denoted by the index of the power. Ex. 1. Required the fourth power of a + b. a + b a.+b a2 + ab + ab+ b2 (a + bf = a2 + 2a6 + b2, the... | |
 | Charles William Hackley - 1846 - 542 sider
...raise a monomial to any power, the rule given in the case of positive and integral exponents was, to multiply the index of the quantity by the index of the power sought. We have now to prove that this holds good, whatever may be the nature of the exponent. 5 Let... | |
 | John Bonnycastle - 1848 - 334 sider
...powers from any proposed root ; or the method of finding the square, cube, biquadrate, or fourth power, &c., of any given quantity. Rule. I. Multiply the...which it is to be raised, and the result will be the index of the power required. 2. Or multiply the quantity into itself as many times less one as is denoted... | |
 | George Clinton Whitlock - 1848 - 338 sider
...... = a""i »т ••+•••. ) Cor. 2. A quantity is involved by multiplying its exponent (14) by the index of the power to which it is to be raised. For, making p, q, r, ... all = m and n in number (13), becomes а".о">.а"....[я] = а"-(-"4"> +... | |
 | Jeremiah Day, James Bates Thomson - 1848 - 264 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,... | |
 | John Bonnycastle - 1851 - 288 sider
...the method of finding the square, cube", biquadrate, &c., of any given quantity. , RULE 1.—Multiply the index of the quantity by the index of the power...the power, and the last product will be the answer. will be +, and the odd powers —: as is evident from multiplication.* EXAMPLES. #, the root. a 2 =... | |
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... 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. 
