 | Isaac Dalby - 1806 - 526 σελίδες
...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* —... | |
 | John Dougall - 1810 - 734 σελίδες
...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, rajse 8 to the 2nd power,... | |
 | Warren Colburn - 1828 - 330 σελίδες
...until it is taken as many times as there are units in the exponent of the required power. Hence any quantity may be raised to any power by multiplying its exponent by ike exponent of the power to which it is to be raised. The 5th power of a3 is a3X5 = a". The 3d power... | |
 | Warren Colburn - 1829 - 284 σελίδες
...The 3d power of (2 a — </)4 is (2a — rf)'+4+» = (2« — J)'x3:=(2a — rf)13. That is, «»i/ quantity, which is already a power of a compound quantity,...be raised to any power by multiplying its exponent oy the exponent of the power to which it is to be raised. 7. Express the 2d power of (36 — c)4. 8.... | |
 | Warren Colburn - 1830 - 290 σελίδες
...of (2 a — d)4 is (2« — rf)4+4+1 = (2a — rf)4x3 = (2a — rf)''. That is, any quantity, whkh is already a power of a compound Quantity, may be raised to any power by multiplying its exponent y the exponent of the power to which it is to be raised. 7. Express the 2d power of (3 b — c)4. 8.... | |
 | William Smyth - 1830 - 278 σελίδες
...number by means of a •table of logarithms, we multiply therefore the logarithm of the proposed number by the exponent of the power, to which it is to be raised ; the number in the table corresponding to this product, will be the power sought. Again let it be... | |
 | Warren Colburn - 1831 - 282 σελίδες
...until it is taken as many times as there are units in the exponent of the required power. Hence any quantity may be raised to any power by multiplying its exponent by the exponent of the poiver to which it is to be 'raised. • The 5th power of a3 is a3*5 == a15. The 3d power of a7 is... | |
 | Warren Colburn - 1833 - 300 σελίδες
...= (a + 6)3** = (a + b)<. The 3d power of (2 a — rf)4 is (2« — </)'+<+' = (2a — d)*x3=(2a — d)". That is, any quantity, which is already a power...is to be raised.. 7. Express the 2d power of (3 b — c)'. 8. Express the 3d power of (a — c + 2 dy. 9. Express the 7th power of (2 a5 — 4 c3)3.... | |
 | Warren Colburn - 1834 - 288 σελίδες
...X (« + by - (a +b)*> =(a + 6)'xi = ( The 3d power of (2 a — d)f is (2a— d)4+'+4 = (2a — d)4 That is, any quantity, which is already a power of...(3 b — c)4. 8. Express the 3d power of (a — c + 2 d)'. 9. Express the 7th power of (2 a' — 4 c')'. Division may also be performed by subtracting... | |
 | John H. Harney - 1840 - 298 σελίδες
...third power of a, or the third power of the second root of a. As we can raise any power of a to a given power, by multiplying its exponent by the exponent of the power to which it is to be raised, we may obtain the root of any power by dividing the exponent of the power. Thus, the second root of... | |
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The 3d power of (2 a — rf)4 is (2a — rf)^«+« = (2a — d)4x3=(2a — d)". That is, any quantity, which is already a power of a compound quantity, may be raised to any power by multiplying its exponent by the exponent of the power to which it is... 
