so sánh các cặp phân số sau
a)-251/21 và 21/251
b) 42/23 và 69/50
c) -81/84 và -75/88
cần gấp giúp mình với
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a) Vì \(-45< -16\) nên \(\left(-\dfrac{45}{17}\right)^{15}< \left(\dfrac{-16}{17}\right)^{15}\)
b) Vì \(21< 23\) nên \(\left(-\dfrac{8}{9}\right)^{21}< \left(-\dfrac{8}{9}\right)^{23}\)
c) \(27^{40}=3^{3^{40}}=3^{120}\)
\(64^{60}=8^{2^{60}}=8^{120}\)
Vì \(3< 8\) nên \(3^{120}< 8^{120}\) hay \(27^{40}< 64^{60}\)
con ai kooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
a)\(\frac{14}{15}\) < \(\frac{15}{21}\)
b)\(\frac{101}{200}\) < \(\frac{200}{404}\)
c)\(\frac{1995}{2011}\) >\(\frac{1993}{2012}\)
\(\frac{75}{100}=\frac{3}{4}=\frac{6}{8}< \frac{7}{8}\)
\(\frac{7}{8}< 1< \frac{3}{2}\)
\(\frac{60}{108}=\frac{5}{9}=\frac{15}{27}>\frac{15}{37}\)
\(\frac{15}{37}=\frac{30}{74}< \frac{31}{74}< \frac{31}{54}\)
\(\frac{0}{16}=\frac{0}{21}\)
Xét \(1-\frac{1965}{1967}=\frac{2}{1967}>\frac{2}{1975}=1-\frac{1973}{1975}\Rightarrow\frac{1965}{1967}< \frac{1973}{1975}\)
\(a.\dfrac{5}{10}=\dfrac{1}{2}=\dfrac{1\times3}{2\times3}=\dfrac{3}{6}\)
\(\dfrac{25}{75}=\dfrac{1}{3}=\dfrac{1\times2}{3\times2}=\dfrac{2}{6}\)
\(b.\dfrac{42}{56}=\dfrac{3}{4}=\dfrac{3\times2}{4\times2}=\dfrac{6}{8}\)
\(\dfrac{18}{48}=\dfrac{3}{8}\)
\(c.\dfrac{27}{81}=\dfrac{1}{3}=\dfrac{1\times4}{3\times4}=\dfrac{4}{12}\)
\(\dfrac{57}{76}=\dfrac{3}{4}=\dfrac{3\times3}{4\times3}=\dfrac{9}{12}\)
\(\dfrac{35}{84}=\dfrac{5}{12}\)
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A) Ta có:
\(\dfrac{12}{13}=\dfrac{13}{13}-\dfrac{1}{13}=1-\dfrac{1}{13}\)
\(\dfrac{13}{14}=\dfrac{14}{14}-\dfrac{1}{14}=1-\dfrac{1}{14}\)
Mà \(1-\dfrac{1}{13}< -\dfrac{1}{14}\)
\(\Rightarrow\dfrac{12}{13}< \dfrac{13}{14}\)
B) Ta có:
\(\dfrac{125}{251}=\dfrac{251}{251}-\dfrac{126}{251}=1-\dfrac{126}{251}\)
\(\dfrac{127}{253}=\dfrac{253}{253}-\dfrac{126}{253}=1-\dfrac{126}{253}\)
Mà: \(1-\dfrac{126}{251}< 1-\dfrac{126}{253}\)
\(\Rightarrow\dfrac{125}{251}< \dfrac{127}{253}\)
a)\(3^{75}=3^{25.3}=\left(3^3\right)^{25}=27^{25}\)
\(4^{50}=4^{25.2}=\left(4^2\right)^{25}=16^{25}\)
Ta có 2 kết quả trên cùng số mũ mà:27>16.
Vậy \(3^{75}>4^{50}\)
b)\(2^{31}< 2^{32}=2^{4.8}=\left(2^4\right)^8=16^8\)
\(3^{21}=3^{7.3}=\left(3^3\right)^7=27^7\)
\(3^{21}=27^7>16^8>2^{31}\)
Vậy \(3^{21}>2^{31}\)
Chúc em học tốt^^
ta có:19/20<20/20 và 20/20<20/21
ta có:1-17/21=21/21-17/21=4/21
nên 4/21>4/27
1-23/27=27/27=4/27
ta có:31/29-1=31/29-29/29=2/29
nên 31/29>45/43
45/43-1=43/43-45/43=2/43
nhớ k mình nha
a: 3>2
=>5/3<5/2
b: 23/21>1
21/23<1
=>23/21>21/23
c: -15/-17>0
16/-19<0
=>-15/-17>16/-19