18 mũ 18 : 18 mũ 17 + 2 mũ 3 . 3 mũ 2
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1. 53 = 5.5.5 = 125
2. 27 = 2.2.2.2.2.2.2 = 128
3. 44 = 4.4.4.4 = 256
4. 73 = 7.7.7 = 343
6. 35 = 243
7. 26 = 64
8. 34 = 81
9. 83 = 512
11. 132 = 169
12. 112 = 121
13. 142 = 196
14. 152 = 225
16. 172 = 289
17. 182 = 324
18. 192 = 361
19. 202 = 400
21. 104 = 10000
22. 105 = 100000
23. 106 = 1000000
24. 107 = 10000000
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Đề bài nó như thế này phải không bạn:
\(\frac{5\left(2^2.3^2\right)^9.\left(2^2\right)^6-2\left(2^2.3\right)^{14}.3^4}{5.2^{28}.3^{18}-7.2^{29}.3^{18}}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left(\dfrac{5}{2}\right)^{18}:\left(1+\dfrac{3}{2}\right)^{17}\)
\(=\left(\dfrac{5}{2}\right)^{18}:\left(\dfrac{5}{2}\right)^{17}\)
\(=\dfrac{5}{2}\)
\(\left(\dfrac{5}{2}\right)^{18}:\left(1+\dfrac{3}{2}\right)^{17}\)
\(=\left(\dfrac{5}{2}\right)^{18}:\left(\dfrac{2}{2}+\dfrac{1}{2}\right)^{17}\)
\(=\left(\dfrac{5}{2}\right)^{18}:\left(\dfrac{5}{2}\right)^{17}\)
\(=\left(\dfrac{5}{2}\right)^{18-17}\)
\(=\dfrac{5}{2}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(A=\dfrac{10^{17}+3}{10^{17}+1}=1+\dfrac{2}{10^{17}+1}\\ B=\dfrac{10^{18}+1}{10^{18}-1}=1+\dfrac{2}{10^{18}-1}=1+\dfrac{2}{10^{17}+1+\left(9\cdot10^{17}-2\right)}\)
Ta có : \(9\cdot10^{17}-2>0\Rightarrow10^{17}+1+\left(9\cdot10^{17}-2\right)>10^{17}+1\\ \Rightarrow\dfrac{2}{10^{17}+1}>\dfrac{2}{10^{18}-1}\Rightarrow A>B\)
\(18^{18}:18^{17}+2^3.3^2=18^{18-17}+8.9=18+72=90\)