 | William Emerson - 1780 - 574 σελίδες
...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... | |
 | William Emerson - 1764 - 582 σελίδες
...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*... | |
 | John Bonnycastle - 1782 - 272 σελίδες
...— 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 - 226 σελίδες
...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 - 724 σελίδες
...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 - 556 σελίδες
...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 - 392 σελίδες
...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 - 234 σελίδες
...x2— <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 - 488 σελίδες
...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... | |
 | Samuel Webber - 1808 - 466 σελίδες
...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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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. 
