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a. \(27^{11}=\left(3^3\right)^{11}=3^{3\cdot11}=3^{33}\)
\(81^8=\left(3^4\right)^8=3^{4\cdot8}=3^{32}\)
Vì 32<33 => 332<333 => 818<2711
b. \(63^{15}=\left(63^5\right)^3=992436543^3\)
\(34^{18}=\left(34^6\right)^3=1544804416^3\)
Vì 992436543<1544804416 nên 9924365433<15448044163 => \(63^{15}< 34^{18}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
1) 6315 < 6415 = (26)15 = 290
3418 > 3218 = (25)18 = 290
=> 6315 < 290 < 3418 . Vậy 6315 < 3418
2) 839 > 819 = (34)9 = 336
2612 < 2712 = (33)12 = 336
=> 2612 < 336 < 839 . Vậy 2612 < 839
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
63 ^15 = 60 ^ 5*3 = (65^5 ) ^3 = 992436543^3
34^18 = 34 ^6*3 = (34^6)^3 = 1544804416^3
vì 992436543^3 < 1544804416^3
=> 63 ^ 15 < 34 ^ 18
k mk nha mn
![](https://rs.olm.vn/images/avt/0.png?1311)
1) 6315 < 6415 = (26)15 = 290
3418 > 3218 = (25)18 = 290
=> 6315 < 290 < 3418 . Vậy 6315 < 3418
2) 839 > 819 = (34)9 = 336
2612 < 2712 = (33)12 = 336
=> 2612 < 336 < 839 . Vậy 2612 < 839
![](https://rs.olm.vn/images/avt/0.png?1311)
63 ^15 = 63^ 5.3 = ( 63^ 5 ) 3 = 992 436 543^ 3
34 ^18 = 34^ 6.3 = ( 34^ 6 ) 3 = 1 544 804 416 ^3
Vì : 992 436 543^ 3 < 1 544 804 416^ 3
Nên : 63 ^15 < 34^ 18
63^15<34^18
ra loi giai di