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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. "
Practical and Mental Arithmetic: Designed Principally to Accompany Daboll's ... - Σελίδα 95
των Roswell Chamberlain Smith - 1826 - 107 σελίδες
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A Theoretical and Practical Arithmetic ...

Daniel Leach - 1857 - 316 σελίδες
...find the required power ol' any number, — RULE. Multiply the given number into itself in succession, till it is taken as a factor as many times as there are units in the index of the required power. OBs. A common fraction is raised to any required power by raising each term to the required power....

A Treatise on Arithmetic, Combining Analysis and Synthesis: Adapted to the ...

James Stewart Eaton - 1857 - 376 σελίδες
...multiply this product by the original number and so on until the root has been taken as afactor as many times as there are units in the index of the required power. NOTE. — These rules are applicable to every example that can occur in involution ; but their application...

Practical Arithmetic: Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - 1860 - 402 σελίδες
...To involve a number to any required power. Multiply the given number into itself, till it is iaken as a factor as many times as there are units in the index of the power to which the number is to be raised. (Art. 339.) OaS. 1. The number of multiplications in raising...

The Common School Arithmetic: Combining Analysis and Synthesis; Adapted to ...

James Stewart Eaton - 1862 - 320 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 required power. * Ex. 1. What is the 3d power of 6 ? Ans. 6 3 = 6 X 6 X 6 = 216. 2. What is the 5th power of 3 ? Ans....

The Common School Arithmetic: Combining Analysis and Synthesis ; Adapted to ...

James Stewart Eaton - 1864 - 322 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 required power. Ex. 1. What is the 3d power of 6 ? Ans. 63=6X 6 X 6 = 216. 2. What is the 5th power of 3 ? Ans. 243....

Ray's Algebra, Part Second: An Analytical Treatise, Designed for ..., Μέρος 2

Joseph Ray - 1852 - 422 σελίδες
...ROLE FOR RAISING A QUANTITY TO ANY REQUIRED POWER. — Multiply the given quantity by itself, until it is taken as a factor as many times as there are units in the exponent of the required power. REMARK. — This rule is perfectly general, and applies either...

Elements of Algebra: For Colleges, Schools, and Private Students, Βιβλίο 2

Joseph Ray - 1866 - 420 σελίδες
...for Raising any Quantity to any Required Power. — Multiply the given quantity ty itself, •until it is taken as a factor as many times as there are units in the exponent of the required power. As the application of this general rule frequently involves...

Eaton's Elementary Algebra: Designed for the Use of High Schools and Academies

William Frothingham Bradbury - 1868 - 264 σελίδες
...INVOLUTION is the process of raising a quantity to a power. 124. A quantity is involved by taking it as a factor as many times as there are units in the index of the required power. 125. According to Art. 48, (+a)X(+fl)= + a2, (+a) X (+a) X (+a) = (+a2) X (+a) = + a3, and so on ;...

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...




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