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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
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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
![](https://rs.olm.vn/images/avt/0.png?1311)
\(63^{15}< 64^{15}=\left(2^6\right)^{15}=2^{90}=\left(2^5\right)^{18}=32^{18}< 34^{18}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có: \(63^{15}< 64^{15}\Rightarrow63^{15}< \left(2^6\right)^{15}\Rightarrow63^{15}< 2^{90}\)
\(34^{18}>32^{18}\Rightarrow34^{18}>\left(2^5\right)^{18}\Rightarrow34^{18}>2^{90}\)
Suy ra: \(63^{15}< 2^{90}< 34^{18}\)
Vậy \(34^{18}>63^{15}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(63^{15}< 64^{15}=\left(2^6\right)^{15}=2^{6.15}=2^{90}\)
\(34^{18}>32^{18}=\left(2^5\right)^{18}=2^{5.18}=2^{90}\)
Vậy \(63^{15}< 34^{18}\)
6315 = 633.5 = (635)3 = 9924365433
3418 = 343.6 = (346)3 = 21767823363
=> 6315 <3418
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6315 = 635.3 = ( 635 )3 = 992 436 5433
3418 = 346.3 = ( 346 )3 = 1 544 804 416 3
Vì : 992 436 5433 < 1 544 804 4163
Nên : 6315 < 2618
839 = 833.3 = ( 833 )3 = 571 7873
2612 = 264.3 = ( 264 )3 = 456 9783
Vì : 571 7873 > 456 9783
Nên : 839 > 2612
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