Rút gọn
a) 20 - 12 . 20/ -30 - 30 . 10
b) 11^9 . 3^15 . 27/ 3^10 .11^11. 3^8
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a: \(=\dfrac{20\left(1-12\right)}{30\left(-1-10\right)}=\dfrac{2}{3}\)
b: \(=\dfrac{11^9\cdot3^{18}}{3^{18}\cdot11^{11}}=\dfrac{1}{121}\)
1+2+3+4+5+6+7+8+9+10=55
11+12+13+14+15+16+17+18+19+20=155
1+2+3+4+5+6+7+8+9+10+11+12+13+14 +15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30-50-53=362
1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30 =465
\(1+2+3+4+5+6+7+8+9+10=55\)
\(11+12+13+14+15+16+17+18+19+20=155\)
| 1. the first of September | 7. the second of April |
| 2. the eleventh of March | 8. the thirtieth of January |
| 3. the fifteenth of December | 9. the twenty-second of May |
| 4. the twentieth of November | 10. the twenty-seventh of July |
| 5. the twenty-sixth of February | 11. the twelfth of October |
| 6. the thirteenth of August | 12. The third of June |
1 + 3 + 5 +7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 + 27 + 29 + 2 + 4 + 6 + 8 + 12 + 14 + 16 + 18 + 20 + 22 + 24 + 26 + 28 + 30 =???
BL:
(1 + 3 + 5 +7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 + 27 + 29 )+ (2 + 4 + 6 + 8 + 12 + 14 + 16 + 18 + 20 + 22 + 24 + 26 + 28 + 30 )=???
Chia thành 2 nhóm
SSH nhóm 1 là:(29-1):2+1=15(SSH)
SSH nhóm 2 là:(30-2):2+1=15(SSH)
Tổng nhóm 1 là:(29+1)x15:2=225(đơn vị)
Tổng nhóm 2 là:(30+2)x15:2=240(đơn vị)
=>Tổng trên là:240+225=465(đơn vị) và
=>1 + 3 + 5 +7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 + 27 + 29 + 2 + 4 + 6 + 8 + 12 + 14 + 16 + 18 + 20 + 22 + 24 + 26 + 28 + 30 =465
a: \(=\dfrac{20\left(1-12\right)}{30\left(-1-10\right)}=\dfrac{20}{30}=\dfrac{2}{3}\)
b: \(=\dfrac{11^9\cdot3^{18}}{3^{10}\cdot11^{11}\cdot3^8}=\dfrac{1}{121}\)