| William Emerson - 1764
...by \/ab — ~, . , i The quot,ent u PROBLEM XXIX. To involve fura quantities to any power. i RULE. **Multiply the index of the quantity, by the index of the power to** be raifed. Ex. i. Let v/2 be cubed. </г =iy. Then 2"ÎX3 or 2* is the cube, that is \/2' or \/8 =... | |
| William Emerson - 1780 - 531 sider
...ar $d power* a + 3 aa ~$- ab -}- #£ + fquare aa + 2^ ^ -h a* + 2 aab -{- a + aa& + 2 cube 2 RULE, **Multiply the index of the quantity* by the index of the power,** and make the figns as in Ruk z. Ex. 4* root a or a1 .— 2tta; w 2&a fquare a1 X2 or a* + 4 52 X' ^... | |
| John Bonnycastle - 1782 - 201 sider
...— b + d-/brx— \S¿=x + ^b — d' PROBLEM VIII. To involve Jurd quantities to any power. RUL E. **Multiply the index of the quantity by the index of the power to** be raifed, and to the refult annex the power of the rational parts, and it will be involved as required.... | |
| John Bonnycastle - 1782 - 201 sider
...into itfelf as often as is denoted by the index, and the laft produft will be the power required. Or **Multiply the index of the quantity by the index of the power,** and the refalt will be the fame as before. Note, When the fign of the root is + all the powers of it... | |
| Maria Gaetana Agnesi - 1801
...powers, will eafily be performed by their exponents. For the index of any power muft be multiplied **by the index of the power to which it is to be** raifed ; and the index of the given power is to be divided by the index of the root to be extracted.... | |
| Thomas Hodson - 1802
...units, except one, and the lad prodixft will be the required power ; or, which is more convenient, **multiply the index of the quantity by the index of the power.** Thus, let it be required to wife the quantities i+c and b — c to the third power, or the cube. I... | |
| David Steel - 1805
...20140 20l4=Iogarithm of 159, the Answer. INVOLUTION BY LOGARITHMS. MULTIPLY the logarithm of the root **by the index of the power to which it is to be raised** ; the product is the logarithm of the answer. Required the 5th power of 1 1 . Logarithm of 1 1 = 1... | |
| John Bonnycastle - 1806 - 208 sider
...<Kd—i>+d^/b be divided by x—^/b. PROBLEM VIII. To involve surd quantities to any poiaer. RULE. **Multiply the index of the quantity by the index of the power to which it is to be** railed, and to the refult annex the power of the rational parts, and it will give the power required.... | |
| Thomas Hodson - 1806 - 458 sider
...units, except one, and the laft product will be the required power ; or, which is more convenient, **multiply the index of the quantity by the index of the power.** Thus, let it be required to raife the quantities #-fc aud b — c to the third power, or the cube.... | |
| Samuel Webber - 1808
...many times as there are units in the index, and the last product will be the power required. Or, s s. **Multiply the index of the quantity by the index of the power^** and the result will be. the power required. EXAMPLES. a root : square -^ — a3 =cube a4 = 4th power... | |
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