\(-\frac{231}{232}>-\frac{1320}{1321}\)

nha

chuc bn hoc gioi!

-231/232>-1320/1321

\(3^{21}=3^{20}.3=9^{10}.3\)

\(2^{31}=2^{30}.2=8^{10}.2\)

Do \(9^{10}>8^{10},3>2\)

\(\Rightarrow9^{10}.3>8^{10}.2\Rightarrow3^{21}>2^{31}\)

\(3^{21}=3^{20}\cdot3\)

\(2^{31}=2^{30}\cdot2\)

mà \(3^{20}>2^{30}\)

nên \(3^{21}>2^{31}\)

\(a=\left[\left(-\dfrac{1}{2}\right)^5\right]^{107}=\left(-\dfrac{1}{32}\right)^{107}\)

\(b=\left[\left(-\dfrac{1}{3}\right)^3\right]^{107}=\left(-\dfrac{1}{27}\right)^{107}\)

mà -1/32>-1/27

nên a>b

a>b

?? = 444

? =445

\(\Rightarrow\) ? > ??

tk mik nha

nhanh tk cho

Tính bằng cách thuận tiện nhất nhé

123+132+213+231+312+321

=400+400+400

=1200

**** nha

a: \(\frac{60}{72}=\frac{60:12}{72:12}=\frac56\)

\(\frac{24}{36}=\frac{24:12}{36:12}=\frac23=\frac{2\times2}{3\times2}=\frac46\)

mà 5>4

nên \(\frac{60}{72}>\frac{24}{36}\)

b: \(\frac{-13}{18}=\frac{-13\times2}{18\times2}=\frac{-26}{36}\)

\(\frac{-7}{12}=\frac{-7\times3}{12\times3}=\frac{-21}{36}\)

mà -26<-21

nên \(-\frac{13}{18}<-\frac{7}{12}\)

c: \(\frac{4}{15}=\frac{4\times6}{15\times6}=\frac{24}{90}\)

\(\frac{7}{18}=\frac{7\times5}{18\times5}=\frac{35}{90}\)

mà 24<35

nên \(\frac{4}{15}<\frac{7}{18}\)

d: \(\frac{123}{321}>0;0>-\frac{312}{213}\)

Do đó: \(\frac{123}{321}>-\frac{312}{213}\)

a: \(\frac{60}{72}=\frac{60:12}{72:12}=\frac56\)

\(\frac{24}{36}=\frac{24:12}{36:12}=\frac23=\frac{2\times2}{3\times2}=\frac46\)

mà 5>4

nên \(\frac{60}{72}>\frac{24}{36}\)

b: \(\frac{-13}{18}=\frac{-13\times2}{18\times2}=\frac{-26}{36}\)

\(\frac{-7}{12}=\frac{-7\times3}{12\times3}=\frac{-21}{36}\)

mà -26<-21

nên \(-\frac{13}{18}<-\frac{7}{12}\)

c: \(\frac{4}{15}=\frac{4\times6}{15\times6}=\frac{24}{90}\)

\(\frac{7}{18}=\frac{7\times5}{18\times5}=\frac{35}{90}\)

mà 24<35

nên \(\frac{4}{15}<\frac{7}{18}\)

d: \(\frac{123}{321}>0;0>-\frac{312}{213}\)

Do đó: \(\frac{123}{321}>-\frac{312}{213}\)