 | 1867 - 878 sayfa
...following GENERAL RULE FOR DIVIDINO POWERS. A power may be divided by another power of the same root by subtracting the index of the divisor from that of the dividend. If the divisor and dividend have co-efficients, the co-efficient of the dividend must be divided by... | |
 | Isaac Dalby - 1806 - 526 sayfa
...131. If 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... | |
 | Jeremiah Day - 1814 - 304 sayfa
...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... | |
 | John Bonnycastle - 1818 - 284 sayfa
...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.... | |
 | Edward Riddle - 1824 - 572 sayfa
...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 sayfa
...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,... | |
 | George Lees - 1826 - 276 sayfa
...signs produce + in the quotient, and imlike signs — . 29- Powers of the same quantity are divided by subtracting the index of the divisor from that of the dividend. Thus, O? am nm hn -5- — a5 ~2= a5 ; in the same manner — = am~ " • — — __ " " Of Division... | |
 | Bewick Bridge - 1828 - 260 sayfa
...a*=as *; or, in general, - = a™~" ; from which it appears, that one power of a is divided by another, by subtracting the index of the divisor from that of the dividend. in. The square of a = a xa = aiX2 = a', . Cubeofa*=a*xaîxa!'=a8'<3=a6, or, in general, mth power of... | |
 | Jeremiah Day - 1827 - 352 sayfa
...(ax)m (ay)* Quot. \/^03 0*1+*) 286. A ROOT IS DIVIDED BY ANOTHER ROOT OF THE SAME LETTER OR QUANTITY, BY SUBTRACTING THE INDEX OF THE DIVISOR FROM THAT OF THE DIVIDEND. I 1 II 3 1 2 1 Thus a5H-a'=a7~T=a4 ~*=a» = a*. I 3 1 1 J £ For aT=a*=a* X aj Xa° and this divided... | |
 | 1836 - 488 sayfa
...the common radical sign or index. A root is divided by another root of the same letter or quantity, by subtracting the index of the divisor from that of the dividend. When radical quantities which are reduced to the same index have rational co-efficients, the rational... | |
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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. Thus, a 3 -r- a 2 , or -5 = 0; a 2 -r 
