 | Charles Vyse - 1806 - 342 σελίδες
...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 - 340 σελίδες
...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 - 574 σελίδες
...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 - 426 σελίδες
...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 - 324 σελίδες
...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 - 400 σελίδες
...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 - 330 σελίδες
...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 - 278 σελίδες
...-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 - 352 σελίδες
...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 - 314 σελίδες
...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. 
