 | Joseph Ray - Algebra - 1866 - 250 pages
...CASE II. TO RAISE A POLYNOMIAL TO ANY POWER, 181. Rule. — Find the product of the quantity, taken as a factor as many times as there are units in the exponent of the power, 1. Find the square of ax-\-cy. 2. Square of l—x Ans. 1— 2x+x*. 3. Square of x+l.... | |
 | Elias Loomis - Algebra - 1868 - 386 pages
...and so on. Hence we have the following RULE. Multiply the quantity by itself until it lias been taken as a factor as many times as there are units in the exponent of the required power. EXAMPLES. 1. Find the square of 2a+3& 2 , Ans. 4a 2 +12a& 2 +96 4 . 2. Find... | |
 | Joseph Ray - Algebra - 1866 - 420 pages
...Raising any Quantity to any Required Power. — Multiply the given quantity Ly 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 a tedious operation,... | |
 | Elias Loomis - Algebra - 1873 - 396 pages
...and so on. Hence we have the following RULE. Multiply the. quantity by itself until it has been taken as a factor as many times as there are units in the exponent of the required power. EXAMPLES. 1. Find the square of 2a+362. Ans. 4a2+12a6z+964. 2. Find the square... | |
 | Edward Olney - Algebra - 1873 - 354 pages
...of number.* 35. A Positive Integral Exponent signifies that the number affected by it is to be taken as a factor as many times as there are units in the exponent. It is a kind of symbol of multiplication. 36. A Positive Fractional Exponent indicates a power of a... | |
 | Edward Brooks - Arithmetic - 1874 - 352 pages
...the above statements for involution we have the following RULE. — Find the product of the number used as a factor as many times as there are units in the exponent of the power. 1. Find the square of 16. SOLUTION. — To find the square of 1R we multiply OPERATION.... | |
 | Edward Olney - Algebra - 1874 - 228 pages
...negative* 142. A Positive Integral Exponent signifies that thenumI>er affected by it is to be taken as a factor as many times as there are units in the exponent. It is a kind of symbol of multiplication. How TO READ. — We have already learned about Positive Integral... | |
 | William Guy Peck - Arithmetic - 1877 - 430 pages
...jr-wer of a number. The operation of involution is also called raising to powers. RULE. Take the number as a factor as many times as there are units in the exponent of the power. NOTE.— To raise a simple fraction to any power, raise each term separately to that... | |
 | Joseph Ray - Arithmetic - 1877 - 350 pages
...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 the fourth power... | |
 | Edward Olney - Algebra - 1878 - 516 pages
...of number. 41. A Positive Integral Exponent signifies that the number affected by it is to be taken as a factor as many times as there are units in the exponent. It is a kind of symbol of multiplication. ILL. 23, read, " 2, third power," signifies that two is to... | |
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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. 
