| Henry Law - 1853 - 84 sider
...divide a power of a given quantity by any other power of the same quantity, it is only necessary to subtract the exponent of the divisor from the exponent of the dividend to obtain the exponent of their quotient. Thus, let it be required to divide sf by x, we have of' -r... | |
| Elias Loomis - 1855 - 356 sider
...some cases, 10 negative exponents. Thus, let it be required to divide a' by a5. We are directed to subtract the exponent of the divisor from the exponent of the dividend. We thus obtain But a' divided by a' may be written — ; and since the value of a fraction is not altered... | |
| James Stewart Eaton - 1862 - 320 sider
...involving a power? > \ 349. To divide a power of a number by any other power of the same number : RULE. Subtract the exponent of the divisor from the exponent of the dividend. 16. Divide 5 7 by o 3 . Ans. 5 7 ^- 5 3 = 5 4 , for 5 7 H- o 3 = ~ — 5X5X5X5X5X5X5 _- vr j v5vJ5... | |
| Horatio Nelson Robinson - 1863 - 432 sider
...— c. « — с 87. In dividing any power of a quantity by any other power of the same quantity, we subtract the exponent of the divisor from the exponent of the dividend, to obtain the exponent of the quotient. Thus, а'-т-а'=а'""а = а8 ; a'-í-a*=a''~*=at And in general,... | |
| James Stewart Eaton - 1864 - 322 sider
...involving a power? 349. To divide a power of a number by any otber pdwer of the same number : RULE. Subtract the exponent of the divisor from the exponent of the dividend. 5r 16. Divide 57 by 53. Ans. 57 4- 53 = 54, for 57 -f- 5s = -3 — K vx f) '*is ^) ^^ ^ sy' ^ \f ^)... | |
| Horatio Nelson Robinson - 1864 - 444 sider
...— c. a — c 87. In dividing any power of a quantity by any other power of the same quantity, we subtract the exponent of the divisor from the exponent of the dividend, to obtain the exponent of the quotient. Thus, a'-Ha'=al-'=a*; o'-ia'=oT-l=o4 And in general, we have... | |
| Joseph Ray - 1866 - 420 sider
...we derive the following rule. Where the exponents of a quantity are fractional, To Divide, Rule.— Subtract the exponent of the divisor from the exponent of the dividend. J Perform the operations indicated in each of the following examples : 42 __1 2 7 1 .. „ Xa3, and... | |
| John Fair Stoddard - 1868 - 428 sider
...Divide 2' by 25. ANALYSIS.— The analysis is the reverse of the above. 2§-5-2*= 28~'=2'=8. Rule. — Subtract the exponent of the divisor from the exponent of the dividend. 2. 47-r-4'=? Ans. 256. 3. 6'+65=? Ans. 36. 4. 12" -f-126=? Ans. 1728. 5. 12s-^-12s=? Ans. 144. 6. 2"-=-... | |
| John Fair Stoddard - 1888 - 480 sider
...25. ANALYSIS. — The analysis is the reverse of the above. 2"-f-25= 8—5 _ 03 _ o = 4 =O. Rule. — Subtract the exponent of the divisor from the exponent of the dividend. Ans. 6. 2'-r-24=? .4ns. Ans. 2. 47-r-4'=? a 6'-^6s=? Ans. 36. 4. 12"^12°= ? Ans. 1728. 405* To involve... | |
| Thomas K. Brown - 1879 - 292 sider
...EXERCISE. Add Subtract .Ги muKiplication of powers of the same quantity add the exponents. In division subtract the exponent of the divisor from the exponent of the dividend. NOTE. — If the exponent in the result is 0, the quantity is equal to 1, and is usually omitted as... | |
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