 | Charles Vyse - 1806 - Liczba stron: 342
...the Dimensions of some one of its Letters, and proceed as in Sect. V. ,5. Different Powers or Roots of the same Quantity are divided by subtracting the...Exponent of the Divisor from that of the Dividend, and placing the Remainder as an Ex_._ponent to the Quantity given. EXAMPLES. Divisor. Dividend. (1)... | |
 | Charles Vyse - 1815 - Liczba stron: 340
...the dimensions of some one of its letters, and proceed as in Sect. 5. 5. Different powers or roots of the same quantity are divided by subtracting the...exponent of the divisor from that o'F the dividend, and placing the remainder as an exponent to the quantity given. EXAMPLES. Divisor. Dividend. d)ad+6d(... | |
 | Adrien Marie Legendre - 1819 - Liczba stron: 574
...the divisor, Tvhen they have the same exponent; and when the exponent is not the same, to subtract the exponent of the divisor from that of the dividend, the remainder being the exponent to be affixed to the letter in the quotient ; To write in the quotient the letters... | |
 | Thomas Simpson - 1821 - Liczba stron: 426
...2cy is 36 \/ Sax. 5°. Different powers, or roots of the same quantity are droided one by another, by subtracting the exponent of the divisor from that of the dividend, and placing the remainder as an exponent to the ipumlitij given. But it must be observed, that the... | |
 | Silvestre François Lacroix - 1825 - Liczba stron: 324
...the divisor, when they havt the same exponent ; and when the exponent is not the same, to subtract, the exponent of the divisor from that of the dividend, the remainder being the exponent to be affixed to the letter in the quotient ; To write in the quotient the letters... | |
 | Warren Colburn - 1825 - Liczba stron: 400
...that when the dividend and the divisor were different powers of the same letter, division is performed by subtracting the exponent of the divisor from that of the dividend : thus Now - = 1. By the above principle -=aI-1=o°; therefore o° = 1. Also -=- = a3"3 = a° = 1 ;... | |
 | Warren Colburn - 1828 - Liczba stron: 330
...that when the dividend and the divisor were different powers of the same letter, division is performed by subtracting the exponent of the divisor from that of the dividend : thus Now £ = 1 . By the above principle - = «'~' = a° ; therere a fore a° = 1 . Also £. = a3-3... | |
 | William Smyth - 1830 - Liczba stron: 278
...-2 The expression a~" must therefore be regarded, as equivalent tolT2' In like manner J5 — gives by subtracting the exponent of the divisor from that of the dividend a~n ; but the fracom 1 tion -^rn gives when reduced to its lowest terms ^- . whence a ~n is equivalent... | |
 | 1836 - Liczba stron: 352
...second rule in art. [230], the exponent of the quotient of two powers of the same quantity is found by subtracting the exponent of the divisor from that of the dividend. The logarithm of a quotient is therefore the difference of the logarithms of the dividend and divisor.... | |
 | Thomas Sherwin - 1841 - Liczba stron: 314
...of the same quantity are multiplied together by adding the exponents, and divided one by the other by subtracting the exponent of the divisor from that of the dividend ; also, that any power of a quantity is found by multiplying the exponent, and any root is found by... | |
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Powers of the same quantity are divided by subtracting the exponent of the divisor from that of the dividend ; the remainder is the exponent of the quotient. 
