 | Thomas Sherwin - Algebra - 1855 - 262 pages
...and in the last example we actually raised the numerical coefficient to that power by multiplication. Hence we have the following RULE FOR RAISING A MONOMIAL...number which marks the degree of that power. It is manifest, moreover, that • Any power of a product is the product of that power of each of its factors.... | |
 | Thomas Sherwin - 1862 - 252 pages
...and in the last example we actually raised the numerical coefficient to that power by multiplication. Hence we have the following RULE FOR RAISING A MONOMIAL...number which marks the degree of that power. It is manifest, moreover, that Any power of a product is the product of that power of each of its factors.... | |
 | Benjamin Greenleaf - 1863 - 338 pages
...the exponent of the power. Hence, for raising, a monomial to any power, we have the following i RULE. Raise the numerical coefficient to the required power, and multiply the exponent of each letter by the exponent of the required power. NOTE. If the quantity involved is positivo, all its powers will be... | |
 | Thomas Sherwin - 1864 - 260 pages
...power by multiplication. Hence we have the following RULE FOR RAISING A MONOMIAL TO ANY POWER. Jitiisc the numerical coefficient to the required power, and...number which marks the degree of that power. /• It is manifest, moreover, that Any pouter of a product is the product of that power of each of its factors.... | |
 | Benjamin Greenleaf - Algebra - 1864 - 420 pages
...and the rule for multiplication, we have, for raising a monomial to any power, the following RULE. Raise the numerical coefficient to the required power, and multiply the exponent of each letter by the exponent of the required power, making the sign of every even power positive, and the sign of every... | |
 | Joseph Ray - Algebra - 1866 - 250 pages
...odd powers negative. Hence, TO RAISE A MONOMIAL TO ANY GIVEN POWER, Rule. — 1. Raise the numeral coefficient to the required power, and multiply the exponent of each letter by the exponent of the power. 2. If the monomial is positive, all the powers will be positive; if negative,... | |
 | Elias Loomis - Algebra - 1868 - 386 pages
...monomial may be raised to any power. Hence, to raise a monomial to any power, we have the following RULE. Raise the numerical coefficient to the required power, and multiply the exponent of each of the letters ~by the exponent of the required power. 185. Sign of the Power.—With respect to the... | |
 | Elias Loomis - Algebra - 1873 - 396 pages
...result. Soots of Monomials. 194. According to Art. 184, in order to raise a monomial to any power, we raise the numerical coefficient to the required power, and multiply the exponent of each of the letters by the exponent of the power required. Hence, conversely, to extract any root of a monomial,... | |
 | Benjamin Greenleaf - Algebra - 1877 - 662 pages
...the exponent of the power. Hence, for raising a monomial to any power, we have the following RULE. Raise, the numerical coefficient to the required power, and multiply the exponent of each Utter by the exponent of the required power. NOTE. If the quantity involved is positive, all its powers... | |
 | Webster Wells - Algebra - 1879 - 468 pages
...Raise — 3 m ns to the third power. (—3m ns) x(—3m n3) x (— 3 m и3) = — 27 msn2, Ans. BULE. Raise the numerical coefficient to the required power,...and •multiply the exponent of each letter by the exponent of the required power ; making the sign of every even power positive, and the sign of every... | |
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RULE. Raise the numerical coefficient to the required power, and multiply the exponent of each letter by the exponent of the required power. 
