| John Macgregor (teacher of mathematics.) - Mathematics - 1792 - 431 pages
...Î« exiraEl tbefquare, cube, biqttadrate, &c. root of a given tiufaber by logarithmic Rule, Divide **the logarithm of the given number, by the exponent of the power,** and the quotient will give the logarithm of the root. Ex. Required the cube root of 1728. The logarithm... | |
| Isaac Dalby - Mathematics - 1806
...difference. Of involving Surds: And extracting their Roots. 124. SURDS are involved by multiplying the index **by the exponent of the power to which it is to be raised.** (100). Thus, the cube of a? is aj X 3 = a*. And the square of (a*— x*)2 is (a*— x*)^ X 2 = a* —... | |
| Andrew Mackay - Latitude - 1809 - 8 pages
...Square, Cube, c^c. nf 'any given Number, RULK. Multiply the logarithm of the given number by the index **of the power to which it is to be raised, and the product will be the logarithm of the** power sought. EXAMPLES. I. Required the square of 38 ? Given number 38 - log. Index of the power -... | |
| John Dougall - 1810 - 580 pages
...175, the sum of interest required in the question. Involution of Roots is performed by multiplying **the logarithm of the given number by the exponent of the power to which it is to be raised,** when the product will be the logarithm of the power required. For example, raise 8 to the 2nd power,... | |
| John Dougall - 1810 - 580 pages
...4 ? Log. of 4 = 0,60206 3rd power X 3 Cube 64= 1,80618 Evolution of Roots is performed by dividing **the logarithm of the given number by the exponent of the power,** when the quotient will be the logarithm of the required root. For example, extract the square root... | |
| John Bonnycastle - Algebra - 1813
...and the last product will be the power required. Or, multiply the index of the quantity by the index **of the power to which it is to be raised, and the** result will be the same as before. Note. When the sign of the root is + , all the powers of it will... | |
| Charles Butler - Mathematics - 1814
...rational part of the power, (Art. 265 to 267. Part I.) II. Multiply the index of the surd by the index **of the power to which it is to be raised, and the product will be the** surd part. III. Annex the rational part of the power to the surd part, and the result will be the power... | |
| John Bonnycastle - Algebra - 1818 - 260 pages
...cube, biquadrate, &c. of any given quantity. RULE I. > Multiply the index of the quantity by the index **of the power to which it is to be raised, and the** result will be the power required. Or multiply the quantity into itself as many times less ene as is... | |
| George G. Carey - Business & Economics - 1818 - 574 pages
...131.513 2.1189300 TO PERFORM EVOLUTION, THAT IS, TO EXTRACT ANY PROPOSED ROOT BY LOGARITHMS. RULE. Divide **the logarithm of the given number by the exponent of the power,** the quotient is the logarithm of the root. If the given number be a decimal, and the arithmetical complement... | |
| Warren Colburn - Algebra - 1825 - 372 pages
...and third. The power of a literal quantity, we have just seen, is found by multiplying its exponent **by the exponent of the power to which it is to be raised.** The second, power of a3 is a3x* = a' ; consequently the second root of a6 is a¥ =; a3. The third power... | |
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