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" Multiply the given number into itself, till it is taken as a factor, as many times as there are units in the index of the power to which the number is to be raised. "
A Theoretical and Practical Arithmetic: Designed for Common Schools and ... - Σελίδα 125
των Daniel Leach - 1853
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Practical Arithmetic, by Induction and Analysis

Joseph Ray - 1857 - 358 σελίδες
...fc the index of » power ? Rule for Involution, — Multiply the number by itself, till it is used as a factor as many times as there are units in the index of the power. EXAMPLES FOR MENTAL SOLUTION. 1. What is the square of 1? of 2? of 3? of 4? of 5? of 6? of 7?...

Common School Arithmetic on the Analytic System: With an Appendix of the ...

Shelton Palmer Sanford - 1872 - 404 σελίδες
...derive the RULE FOR INVOLUTION. Multiply the number by itself until it is used as a factor at many times as there are units in the index of the required power. INVOLUTION. 3 NOTE. — In raising a number to any power the number multiplications is always one less...

The Philosophy of Arithmetic as Developed from the Three Fundamental ...

Edward Brooks - 1876 - 584 σελίδες
...to any required OPERATION. power. This case may be solved by forming a * product by using the number as a factor as many times as there are units in the index of the power. Thus, to find the third power of 4, we multiply 4 by 4 giving 16, and then multiply 16 by 4...

The Common School Arithmetic ...

James S.. Eaton - 1877 - 366 σελίδες
...second is required) multiply this product by the original number, and so on until the root has been taken as a factor as many times as there are units in the index of the reEx. 1. What is the 3d power of 6? Ans. 63=6X 6 X6=216. 2. What is the 5th power of 3 ? Ans. 243....

Ray's New Practical Arithmetic: A Rev. Ed. of the Practical Arithmetic

Joseph Ray - 1877 - 350 σελίδες
...is the ÏÏT5 28125 cube of 75. 525 39375 5625 421875 Bule. — Obtain a product in which the number is taken as a factor as many times as there are units in the exponent of the power. 2. Find the square of 65. 4225. 3. Find the cube of 25. 15625. 4. Find...

New Elementary Algebra: Designed for Common and High Schools and Academies

Shelton Palmer Sanford - 1879 - 348 σελίδες
...Hence, to raise a quantity to any power we have the fol lowing Multiply the quantity into itself until it is taken as a factor as many times as there are units in the index of the required power. NOTE. — In raising a quantity to any power the number of multiplications is always one less than...

Bradbury's Eaton's Practical Arithmetic: Combining Oral and Written Exercises

William Frothingham Bradbury - 1879 - 392 σελίδες
...or, the 5th power of 4. Hence, 430. To involve a number to any required power, Bule. Take the number as a factor as many times as there are units in the index of the required power. 43L Oral Exercises. 1. What is the 3d power of 6 ? Ans. 6" = 6X6X6 = 216. 2. What is the 5th power...

Bradbury's, Eaton's Practical Arithmetic: Combining Oral and Written Exercises

William Frothingham Bradbury - 1885 - 416 σελίδες
...or, the 5th power of 4. Hence, 430. To involve a number to any required power, Hole. Take tlie number as a factor as many times as there are units in the index of tJie required power. 431. Oral Exercises. 1. What is the 3d power of 6 1 Ans. 6" = 6 X 6 X 6 = 216....

Sheldons' Complete Algebra: Part I Being Sheldon's Elements of ..., Μέρη 1-2

1888 - 492 σελίδες
...When a positive whole number is used as the exponent of a quantity, it indicates that the quantity is taken as a factor as many times as there are units in the exponent. But when the exponent is negative or fractional, it can have no such meaning. It is...

The Academic Algebra

William Frothingham Bradbury - 1889 - 444 σελίδες
...203. Involution is the process of raising a number to a power. 204. A number is involved by taking it as a factor as many times as there are units in the index of the required power. 205. According to Art. 70, (+ а ) X (+ a) = + a2, (+а) X (+a) X (+a) = (+ a2) X (+ a) = + a8, and...




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