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" ... be the power required. Or, multiply the quantity into itself as many times, less one, as is denoted by the index of the power, and the last product will be tJie answer. "
An Introduction to Algebra: With Notes and Observations : Designed for the ... - Side 45
av John Bonnycastle - 1837 - 282 sider
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Bonnycastle's Introduction to Algebra: Containing the Indeterminate and ...

John Bonnycastle - 1851 - 288 sider
...the method of finding the square, cube", biquadrate, &c., of any given quantity. , RULE 1.—Multiply the index of the quantity by the index of the power...—: as is evident from multiplication.* EXAMPLES. #, the root. a 2 = square. a 8 = cube. a 4 = 4th power. a 5 = 5th power. &c. — 3a the root. -J~ 9a...
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A Practical Treatise on Algebra: Designed for the Use of Students in High ...

Benjamin Greenleaf - 1852 - 348 sider
...to raise any quantity to any required power, the pupil will see the propriety of the following RULE. Multiply the index of the quantity by the index of...be the power required. Or, multiply the quantity, whether it be simple, fractional, or compound, into itself as many times less one, as is denoted by...
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A Complete Epitome of Practical Navigation ...

John William Norie - 1852 - 844 sider
...index of that power : hence, to raise or involve a number to a given power, multiply its logarithm by the index of the power to which it is to be raised, and the product will be the logarithm of the power sought. When the given number is a decimal fraction, prefix...
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A Practical Treatise on Algebra: Designed for the Use of Students in High ...

Benjamin Greenleaf - 1853 - 370 sider
...to raise any quantity to any required power, the pupil will see the propriety of the following RULE. Multiply the index of the quantity by the index of...the power, and the last product will be the answer. 115. When the sign of any simple quantity is +, all the powers of it will be + ; and when the sign...
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A Practical Treatise on Algebra: Designed for the Use of Students in High ...

Benjamin Greenleaf - 1854 - 414 sider
...to raise any quantity to any required power, the pupil will ace the propriety of the following RULE. Multiply the index of the quantity by the index of...denoted by the index of the power, and the last product mill be the answer. 115, When the sign of any simple quantity is +, all the powers of it will be +...
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A Practical Treatise on Algebra: Designed for the Use of Students in High ...

Benjamin Greenleaf - 1854 - 374 sider
...to raise any quantity to any required power, the pupil will see the propriety of the following RULE. Multiply the index of the quantity by the index of the power to which it is to be raised, and the remit will be the poreer required. Or, multiply the quantity into itself as many times, less one, as...
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The popular educator, Volum 4;Volum 7

Popular educator - 1852 - 1272 sider
...And (— a) X (— «) = «••• 181. To involve a quantity which is already a power. RULE. — Multiply the index of the quantity by the index of the power to which it is to be raised. EXAMPLES. 14. Find the 3rd power of «». Here, (a2)3 = if. For a1 = aa : and the cube of aa is aa...
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A Practical Treatise on Algebra: Designed for the Use of Students in High ...

Benjamin Greenleaf - 1855 - 374 sider
...to raise any quantity to any required power, the pupil will see the propriety of the following KULE. Multiply the index of the quantity by the index of...power to which it is to be raised, and the result mill be the power required. Or, multiply the quantity into itself as many times, less one, as is denoted...
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A Treatise on Algebra

Elias Loomis - 1855 - 356 sider
...3a~"b. Ex. 5. Required the fifth power of — 2a6~V. (142.) A polynomial is involved by multiplying it into itself as many times less one as is denoted by the exponent of th» power. Ex. 1. Required the fourth power of a+b. a +b a +b a'+ab +ab+b' (a+by=a'+2ab+b',...
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A Practical Treatise on Algebra: Designed for the Use of Students in High ...

Benjamin Greenleaf - 1856 - 394 sider
...to raise any quantity to any required power, the pupil will see the propriety of the following RULE. Multiply the index of the quantity by the index of...one. as is denoted by the index of the power, and the Iast product will be the answer. ' 1751 When the sign of any simple quantity is -f-, all the powers...
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