| John Bonnycastle - 1851 - 288 σελίδες
...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...the power, and the last product will be the answer. will be +, and the odd powers —: as is evident from multiplication.* EXAMPLES. #, the root. a 2 =... | |
| Benjamin Greenleaf - 1852 - 348 σελίδες
...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... | |
| John William Norie - 1852 - 844 σελίδες
...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... | |
| Benjamin Greenleaf - 1853 - 370 σελίδες
...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... | |
| Benjamin Greenleaf - 1854 - 414 σελίδες
...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 +... | |
| Benjamin Greenleaf - 1854 - 374 σελίδες
...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... | |
| Popular educator - 1852 - 1272 σελίδες
...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... | |
| Benjamin Greenleaf - 1855 - 374 σελίδες
...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... | |
| Elias Loomis - 1855 - 356 σελίδες
...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',... | |
| Benjamin Greenleaf - 1856 - 394 σελίδες
...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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