Raise the absolute value of the numerical coefficient to the required power, and multiply the exponent of each letter by the exponent of the required power. College Algebra - Page 79by James Harrington Boyd - 1901 - 777 pagesFull view - About this book
| Silas Totten - Algebra - 1836 - 320 pages
...Ans. 13a-1*. -ï. L. «*— ч» 7. Divide a * by о г . Ans. a "* . FORMATION OF POWERS. RULE. (67.) Multiply the exponent of each letter by the exponent of the required power. ( £V « Thus, VirV = a3. ys / » — \а з 4. For, a'= Va*; and Wov = Va* = a3. EXAMPLES. 1. Involve... | |
| Thomas Sherwin - Algebra - 1841 - 314 pages
...multiplying this exponent. Hence we have the following RULE FOR RAISING A MONOMIAL TO ANY POWER. Raise the numerical coefficient to the required power, and multiply the exponent of each letter by the number which marks the degree of that power. It is moreover manifest that any power of a product, is... | |
| Thomas Sherwin - Algebra - 1855 - 262 pages
...power by multiplication. Hence we have the following RULE FOR RAISING A MONOMIAL TO ANY POWER. Raise the numerical coefficient to the required power, and multiply the exponent of each letter by the number which marks the degree of that power. It is manifest, moreover, that • Any power of a product... | |
| Thomas Sherwin - 1862 - 252 pages
...power by multiplication. Hence we have the following RULE FOR RAISING A MONOMIAL TO ANY POWER. Raise the numerical coefficient to the required power, and multiply the exponent of each letter by the number which marks the degree of that power. It is manifest, moreover, that Any power of a product... | |
| Benjamin Greenleaf - 1863 - 338 pages
...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...each letter by the exponent of the required power. NOTE. If the quantity involved is positivo, all its powers will be positive (Art. 187) ; but if it... | |
| 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, the even powers... | |
| Joseph Ray - Algebra - 1866 - 252 pages
...negative. Hence, TO RAISE A MONOMIAL TO ANY GIVEN POWER, Rule. — 1. Raise the numeral coefficient to. iKe required power, and multiply the exponent of each letter by the exponent of the power. 1. Find the square of 3ax*y* ..... Ans. 9aV/. 2. Square of 56V ........ Ans. 256V. 3. Cube of... | |
| Elias Loomis - Algebra - 1868 - 386 pages
...Boots 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,... | |
| Elias Loomis - Algebra - 1873 - 396 pages
...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... | |
| Daniel Barnard Hagar - Algebra - 1873 - 278 pages
...to be involved is affected by a fractional exponent, the involution may be performed by multiplying the exponent of each letter by the exponent of the required power. Dividing the index of the root produces the same effect as multiplying the fractional exponent. 1.... | |
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