| 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
...similar manner any monomial may be raised to any power. Hence, to raise a monomial to any power, we have the following RULE. Raise the numerical coefficient...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
...similar manner any monomial may be raised to any power. Hence, to raise a monomial to any power, we have the following RULE. Raise the numerical coefficient...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.... | |
| Horatio Nelson Robinson - Algebra - 1875 - 340 pages
...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... | |
| Horatio Nelson Robinson - Algebra - 1875 - 430 pages
...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... | |
| Benjamin Greenleaf - Algebra - 1877 - 662 pages
...been multiplied by 3, the exponent of the power. Hence, for raising a monomial to any power, we have the following RULE. Raise, the numerical coefficient...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,...odd power the same as that of its root. EXAMPLES. Find the values of the following : 3. (а3ху2. 7. (2 ж™)4. 11. (-2 a 6" ж)'. 4. (-Зa2 6)3. 8.... | |
| Benjamin Greenleaf - Algebra - 1879 - 376 pages
...indicated ? Explain the operation. \ Hence, for raising a monomial to any power, we have the following1 RULE. Raise the numerical coefficient to the required...each letter by the exponent of the required power. NOTE. If the quantity involved is positive, all its powers will he positive (Art. 182) ; hut if it... | |
| Benjamin Greenleaf - Algebra - 1879 - 350 pages
...Explain the operation. Hence, for raising a monomial to any power, we have the following RULE. liaise the numerical coefficient to the required power, and...each letter by the exponent of the required power. NOTE. If the quantity involved is positive, all .its powers will he positive (Art. 182); but if it... | |
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