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" 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 - Σελίδα 81
των James Harrington Boyd - 1901 - 777 σελίδες
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A New Introduction to the Science of Algebra...

Silas Totten - 1836 - 304 σελίδες
...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...

Common School Algebra

Thomas Sherwin - 1855 - 238 σελίδες
...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...

Common School Algebra

Thomas Sherwin - 1862
...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...

New Elementary Algebra: in which the First Principles of Analysis are ...

Benjamin Greenleaf - 1863 - 324 σελίδες
...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...

Primary Elements of Algebra: For Common Schools and Academies

Joseph Ray - 1866 - 240 σελίδες
...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...

A TREATISE ON ALGEBRA

ELIAS LOOMIS, L.L.D. - 1868
...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,...

A Treatise on Algebra

Elias Loomis - 1873 - 360 σελίδες
...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...

Elementary Algegra

Daniel Barnard Hagar - 1873 - 263 σελίδες
...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....

New Elementary Algebra: Containing the Rudiments of the Science for Schools ...

Horatio Nelson Robinson - 1875 - 318 σελίδες
...principles we deduce the following BULE. — I. Raise the numeral coefficient to the required power. II. Multiply the exponent of each letter by the exponent of the required power. III. When the quantity is negative, give the odd powers the minus sign. EXAMPLES FOR PRACTICE. 1. Raise...

New University Algebra

Horatio Nelson Robinson - 1875 - 412 σελίδες
...monomial, we derive the following RULE. — I. Raise the numeral coefficients to the required power. II. Multiply the exponent of each letter by the exponent of the required potver. III. When the quantity involved is negative, give the odd powers the minus sign. EXAMPLES FOR...




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