 A power of a quantity is divided by any other power of the same quantity by subtracting the index of the divisor from that of the dividend, the quotient being that power of the quantity whose index is the remainder so obtained.  The elements of algebra - Σελίδα 9των Archibald Montgomerie - 1857 - 95 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | 1867 - 878 σελίδες
...(y*)*. And the quotient is (i3)" =«•=*'. Ant. A root ie divideday another not of the same letter or quantity, by subtracting the index of the divisor from that of the dividend. EXAMPL E. — Thus а* -г- a° = a * = •* "• = <** = a • X a*, and this divided by o* U For... | |
 | Isaac Dalby - 1806 - 526 σελίδες
...the surds have coefficients their quotient must bt prefixed. And the quotient of like surds is found by subtracting the index of the divisor from that of the dividend. (49). 5. Divide 8i/10 by C. Divide J t/£ by 7. Divide a y'i by c \/ d\ a , ^ , — - V 'Ac Y d xz... | |
 | William Nicholson - 1809 - 716 σελίδες
...then by ft, the .aftc , be result will be the same ; for — = Ac, and — =c, as "before. Hence, any power of a quantity is divided by any other power...quantity, by subtracting the index of the divisor from the index of the dividend. vidend as the case may require, and repeat the operation till all the terms... | |
 | Jeremiah Day - 1814 - 304 σελίδες
...Divide i \m By i/3x Jdx aa (ax)v .Quot. 286. A root is divided by another root of the some, letter or quantity, by subtracting the index of the divisor from that of the dividend. l II l 3 i J i Thus a*-:- a* = a* * = ai * = a* = a*. * ' For a* = 0s = a? xa*' xa* and this divided... | |
 | James Wood - 1815 - 338 σελίδες
...then by b, the result will be the same; for - = bc, and -j-= c, as before. ab (84.) COR. Hence, any power of a quantity is divided by any other power of the same quantity, by taking the index of the divisor from the index of the dividend. a? Thus, ~ = a* ; ~ =r = a-3 (Art.... | |
 | John Bonnycastle - 1818 - 284 σελίδες
...products (e). '• It it here also to he observed, that powers and roots of the same quantity, are divided by subtracting the index. of the divisor from that of the dividend. Thus, a3-4-aa, or — = o ; a^-^-a3, or, ^\ = a? ; a* n? ^-x3 or — — a** ,, andam-i<iB or ^=om—n.... | |
 | William Nicholson - 1819 - 432 σελίδες
...result will be the same; for = d c, and — =c, as before. Hence, any power of a quantity is dividedby any other power of the same quantity, by subtracting the index of the divisor from the index of the dividend. Thus, - =0';-,= — =0—s ; =fpn—aa) ai a? a" If only a part of the product... | |
 | Jeremiah Day - 1820 - 352 σελίδες
...=~-=«*. And am-r-<f=Jr=am-". Hence, 237. A POWER MAY BE DIVIDED BY ANOTHER POWER OF THE SAME ROOT, BY SUBTRACTING THE INDEX OF THE DIVISOR FROM THAT OF THE DIVIDEND. By -3a3 2&3 a' Quot. — 3y4 b + 3y4 yyy Thus y *-ry* •=*?-2 »/'. That is— =i/. aa" And a"+'--'0=«"+iI=«".... | |
 | Edward Riddle - 1824 - 572 σελίδες
...or to a . a, a .a .a .a or to a5; the division of different powers of the same quantity, is effected by subtracting the index of the divisor from that of the dividend. ALGEBRAICAL CALCULATION. EXAMPLES IN DIVISION 1. Divide б a by 2. Answer, 3 a. 2. Divide 7 ab by a.... | |
 | John Bonnycastle - 1825 - 336 σελίδες
...products*. It is here also to be observed, that powers and roots of the same quantity, are divided by subtracting the index of the divisor from that of the dividend. "3 T 4 <4 -1 Thus, a3-r-a1, or— ;=a; a -~a , or,— =e» ; a oj 3 % . •? or_=aT* ; and am-7-on,... | |
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