| William Emerson - 1764
...al + Ъ Ъ fquare aa + гаЪ + Ь Ъ а + В _ & -\- га аЪ -\- аЪЪ cube я' + з л я £ 42 **RULE. Multiply the index of the quantity, by the index of the** povter, and make the figns as in Rule i. Ex. 4. root a or a1 — 2 Ъ Ъ а ; or 2 í1 e fquare й1Хгогд*... | |
| William Emerson - 1780 - 531 sider
...the furds to fractional indices. PROBLEM XX. $'o reduce a rational quantity to the, form of a furd* **RULE, Multiply the index of the quantity, by the index of the** furd root given ; to which fet the radical fign, or index of the furd. Ex. i. Reduce 6 to the form... | |
| Samuel Webber - 1801
...4*»S be divided by -|a3. Ans. -A^ • 9 i ^ ^ « - * :$ ^ , tr ' * PROBLEM VIII. To involve) or raiset **surd quantities to any power. * RULE. Multiply the index of the quantity by the index of** tha power, to which it is to be raised; and annex the result to the power of the rational parts, and... | |
| 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... | |
| Thomas Hodson - 1806
...the cube root of # by JP or % the cube root of To reduce a rational Quantity to the Form of a Surd. **RULE. Multiply the index of the quantity by the index of the** furd, and over the product place the radical fign, and it will be the form required. Thus, let 3 be... | |
| Nicolas Pike - 1808 - 480 sider
...itself as often as is denoted by the index, and the last produft will be the power required. Or, Or, **Multiply the index of the quantity by the index of the power,** and the result will be the same as before. Note. When the sign of the root ii +, all the powers of... | |
| 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... | |
| Andrew Mackay - 1809 - 8 sider
...toßnd the 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... | |
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