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Ta có: \(\frac{72}{73}>\frac{58}{73}\)
Mà: \(\frac{58}{73}>\frac{58}{99}\)
\(\Rightarrow\frac{72}{73}>\frac{58}{99}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(201^{60}=\left(201^4\right)^{15}=1944810000^{15}\)
\(398^{45}=\left(398^3\right)^{15}=63044792^{15}\)
Do \(1944810000>63044792\)
\(\Rightarrow1944810000^{15}>63044792^{15}\)
\(\Rightarrow201^{60}>398^{45}\)
Ta có:
\(201^{60}>200^{60};398^{45}< 400^{45}\)
\(200^{60}=\left(2.100\right)^{60}=2^{60}.100^{60}=2^{60}.\left(10^2\right)^{60}\)
\(=2^{60}.10^{120}=2^{60}.10^{30}.10^{90}\)
\(400^{45}=\left(2.100\right)^{45}=2^{45}.100^{45}=2^{45}.\left(10^2\right)^{45}\)
\(=2^{45}.10^{90}\)
Mà \(2^{60}.10^{30}.10^{90}>2^{45}.10^{90}\)
\(\Rightarrow200^{60}>400^{45}\)
\(\Rightarrow201^{60}>200^{60}>400^{45}>398^{45}\)
\(\Rightarrow201^{60}>398^{45}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
ta có
\(-\frac{80}{49}< -\frac{49}{49}=1=-\frac{73}{73}< -\frac{29}{73}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\dfrac{8}{9}\) < 1 < \(\dfrac{7}{6}\)
Vậy \(\dfrac{8}{9}\) < \(\dfrac{7}{6}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) 19 60 < 20 60 = 30 90 < 31 90
b) 15 23 > 14 23 = 70 115 > 70 117
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có:
\(\frac{22}{49}>\frac{3}{7}\)
Mà \(\frac{3}{7}>\frac{3}{8}\)
=>\(\frac{22}{49}>\frac{3}{8}\)
Cái này có Phân số trung gian là:\(\frac{21}{49}=\frac{3}{7}\)
777888 = 7778.111 = ( 7778)111
888777 = 8887.111 = ( 8887)111
Roy tự so sánh đi!