So sánh: A=15^28 ; B=6^42
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
ᵃ, ᵗᵃ ʳᵘ́ᵗ ᵍᵒ̣ⁿ :\(\dfrac{18}{24}=\dfrac{3}{4}\) ;
ᵗᵃ ʳᵘ́ᵗ ᵍᵒ̣ⁿ :\(\dfrac{15}{25}=\dfrac{3}{5}\)
Vì \(\dfrac{3}{4}>\dfrac{3}{5}\\ \Rightarrow\dfrac{18}{24}>\dfrac{15}{25}\)
ᵇ, ᵗᵃ ʳᵘ́ᵗ ᵍᵒ̣ⁿ :\(\dfrac{21}{15}=\dfrac{7}{5}\\ \dfrac{28}{24}=\dfrac{7}{6}\)
Vì \(\dfrac{7}{5}>\dfrac{7}{6}\\ \Rightarrow\dfrac{21}{15}>\dfrac{28}{24}\)
a, \(\dfrac{18}{24}\) = \(\dfrac{3}{4}\) \(\dfrac{15}{25}\) = \(\dfrac{3}{5}\)
\(\dfrac{3}{4}\) > \(\dfrac{3}{5}\) vậy \(\dfrac{18}{24}\) > \(\dfrac{15}{25}\)
b, \(\dfrac{21}{15}\) = \(\dfrac{7}{5}\) \(\dfrac{28}{24}\) = \(\dfrac{7}{6}\)
\(\dfrac{7}{5}\) > \(\dfrac{7}{6}\) vậy \(\dfrac{21}{15}\) > \(\dfrac{28}{24}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) Ta có: \(8^{28}=2^{84}=16^{21}\)
Mà \(16>15\Rightarrow16^{21}>15^{21}\Rightarrow8^{28}>15^{21}\)
Vậy...
b) \(5^{91}>5^{90}=125^{30}\) \(\left(1\right)\)
\(11^{59}< 11^{60}=121^{30}\) \(\left(2\right)\)
Lại có: \(125>121\) \(\left(3\right)\)
Từ (1), (2) và (3) suy ra \(5^{91}>11^{59}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) (-12) .(-8) > 90
b) (-21) . (-3) > 59
c) (-15) .(-28) > 400
d) (-22) .(-21) > 420
![](https://rs.olm.vn/images/avt/0.png?1311)
\(A=15^{28}=(15^2)^{14}=225^{14}\)
\(B=6^{42}=(6^3)^{14}=216^{14}\)
Mà \(225>216\)nên \(15^{28}>6^{42}\)hoặc \(A>B\)
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