 | Warren Colburn - Algebra - 1825 - 400 pages
...all others. 2. That in finding a power of a letter the exponent is added until it is taken as many times as there are units in the exponent of the required power. Hence any quantity may be raised to any power by multiplying' its exponent by the exponent of the power to... | |
 | Warren Colburn - Algebra - 1828 - 330 pages
...all others. 2. That in finding a power of a letter the exponent is added until it is taken as many times as there are units in the exponent of the required power. Hence any quantity may be raised to any power by multiplying its exponent by ike exponent of the power to... | |
 | Benjamin Peirce - Algebra - 1837 - 300 pages
...the given coefficient, and for the exponent of each letter the given exponent added to itself as many times as there are units in the exponent of the required...each exponent by the exponent of the required power. 122. Corollary. An even power of a negative quantity is, by art 27, positive, and an odd power is negative.... | |
 | Warren Colburn - Algebra - 1844 - 280 pages
...all others. 2. That in finding a power of a letter the exponent is added until it is taken as many times as there are units in the exponent of the required power. Hence any quantity may be raised to any power by multiplying its exponent by the exponent of the power to... | |
 | Benjamin Peirce - Algebra - 1851 - 294 pages
...the given coefficient, and for the exponent of each letter the given exponent added to itself as many times as there are units in the exponent of the required...negative. 195. EXAMPLES. 1. Find the third power of 2 a 2 b 5 c. Ans. 8 a 6 6 15 c 3 . 2. Find the mth power of a n . Ans. a m B . 3. Find the—mth power... | |
 | Joseph Ray - Algebra - 1852 - 408 pages
...ANY REQUIRED POWER. — Multiply the given quantity by itself, until it is taken as a factor as many times as there are units in the exponent of the required power. REMAKE. — This rule is perfectly general, and applies either to monomials or polynomials, whether... | |
 | Benjamin Peirce - Algebra - 1855 - 308 pages
...the given coefficient, and for the exponent of each letter the given exponent added to itself as many times as there are units in the exponent of the required...negative. 195. EXAMPLES. 1. Find the third power of 2 a2 b5 c. Ans. 8 ae b15 c3. 2. Find the mth power of an. Ans. am B. 3. Find the — mth power of an.... | |
 | Benjamin Peirce - Algebra - 1855 - 296 pages
...the given coefficient, and for the exponent of each letter the given exponent added to itself as many times as there are units in the exponent of the required power. Hence liaise the coefficient of the given monomial to the required power ; and multiply each exponent by... | |
 | Horatio Nelson Robinson - Algebra - 1863 - 432 pages
...to involve a quantity which is already a power, the exponent of the quantity will be taken as many times as there are units in the exponent of the required power. Thus, (a1")" = a-Xa" = «"+" = «"" 5 (a"*)' = o"XamXo" = «"+"+" = a*". And in general, a" raised... | |
 | Benjamin Greenleaf - 1863 - 338 pages
...effected, as is evident from the definition of a power, by taking the given quantity as a factor as many times as there are units in the exponent of the required power. 187, When the quantity to be involved is positive, all the powers will be positive. • For, any positive... | |
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... as many times as there are units in the exponent of the required power. Hence... 
