 | James Bryce - 1837 - 322 σελίδες
...I. To raise a quantity to any power. RULE. 98. Multiply the quantity continually by itself, until it has been used as a factor as many times as there are units in the index of the required power. The reason of the rule is manifest from the nature of powers (Art.... | |
 | George Roberts Perkins - 1841 - 274 σελίδες
...numbers. We have already denned the power of a number to be the result arising from multiplying the same into itself continually, until the number has been...use it as a factor three times, which will produce 7X7X7—343. Examples. 1. What is the square of 23 ? 2. What is the cube of 17 ? 3. What is the 5th... | |
 | Davis Wasgatt Clark - 1844 - 394 σελίδες
...l-2a~2b~"c~''d~">. Jlns. INVOLUTION OF POLYNOMIALS. 257. Multiply the polynomial by itself till it has been used as a factor as many times as there are units in the exponent denot>ng the power to which it is to be raised ; the final product will be the power required. EXAMPLES.... | |
 | Davis Wasgatt Clark - 1846 - 374 σελίδες
...lynomials.—Calculus of Radicals. INVOLUTION AND POWERS. 251. Involution is the multiplying a number by itself till it has been used as a factor as many times as there are units in the exponent. 252. The product thus produced is called the power of that quantity; and the power is designated first,... | |
 | William Vogdes - 1847 - 324 σελίδες
...number, a little to the right, is called an exponent; as 32, 5s, and denotes that the quantity is to be used as a factor as many times as there are units in the exponent, as 33=3x3x3=27. : is to ; : : so is ; : to ; the signs of proportion. v' or ^/ Signs of the square... | |
 | Joseph Ray - 1848 - 250 σελίδες
...2 ART. 1*1. CASE II. RAISE A POLYNOMIAL TO ANY POWER. RULE. Find the product of the quantity, taken as a factor as many times as there are units in the exponent of the power. NOTE. — This rule, and that in the succeeding article, follow directly from the definition... | |
 | Stephen Chase - 1849 - 348 σελίδες
...integral power of any quantity is by continued multiplication of the quantity by itself; taking it as a factor as many times as there are units in the exponent of the power. Thus we have already found (§ 89) " (aH»)2 = (a+x)(ar\-x) = a So (a-|-a;)s = (a+x)... | |
 | George Roberts Perkins - 1850 - 356 σελίδες
...of 6 and 7, respectively. 7. An exponent placed over a quantity, denotes that the quantity is to be used as a factor as many times as there are units in the exponent. Thus, 24=2x2x2x2 = 16. 8. When the exponent is 2, the result is called the second power of the quantity... | |
 | Joseph Ray - 1852 - 408 σελίδες
...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. REMAKE. — This rule is perfectly general, and applies either to monomials... | |
 | Charles D. Lawrence - 1854 - 336 σελίδες
...that a number may be involved to any required power, by the following RULE. Employ the given number as a factor as many times as there are units in the exponent which denotes the required power, and the product of these equal factors, is the power sought. EXAMPLES.... | |
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To raise a whole number or a decimal to any power, use it as a factor as many times as there are units in the exponent. 
