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\(\frac{37.7+37.3}{74.25-74.10}=\frac{37.\left(7+3\right)}{74.\left(25-10\right)}=\frac{37.10}{37.2.15}=\frac{10}{30}=\frac{1}{3}\)
\(\frac{2^{76}-2^{74}}{2^{78}-2^{76}}=\frac{2^{74}.2^2-2^{74}}{2^{76}.2^2-2^{76}}=\frac{2^{74}.\left(2^2-1\right)}{2^{76}.\left(2^2-1\right)}=\frac{2^{74}}{2^{74}.2^2}=\frac{1}{2^2}=\frac{1}{4}\)
\(\frac{2^{76}-2^{74}}{2^{78}-2^{76}}=\frac{2^{74}\left(2^2-1\right)}{2^{74}\left(2^4-2^2\right)}=\frac{4-1}{16-4}=\frac{1}{4}\)
\(1+\frac{1}{11}=\frac{12}{11}\)
\(1+\frac{1}{12}=\frac{13}{12}\)
\(1+\frac{1}{13}=\frac{14}{13}\)
\(1+\frac{1}{14}=\frac{15}{14}\)
\(1+\frac{1}{15}=\frac{16}{15}\)
\(1+\frac{1}{16}=\frac{17}{16}\)
\(\left(1+\frac{1}{11}\right)\left(1+\frac{1}{12}\right)...\left(1+\frac{1}{16}\right)=\frac{12.13.14.15.16.17}{11.12.13.14.15.16}=\frac{17}{11}\)
2^76-2^74/2^78-2^76
=2^76-(2^2)^37/(2^2)^38-2^76
=(2^2)^37/(2^2)^38=1/4
tick cho mk nha bạn
a) -1,6: (1+2/3)-76/25 =
-1,6:5/3-76/25=
-24/25-76/25=-100/25=-4
b) -3+1/5 . 5/64 + (0,8-(2+4/15)) : 11/3=
-16/5.5/64+(12/15-34/15):11/3=
-1/4+(-22/15):11/3=
-1/4+(-2/5)=
3/20
tick cho mình nha các bạn
278 ( 1 + 2+ 4) : [ 275 ( 4 + 2 + 1)]
278 : 275 = 23 = 8
1: \(=\dfrac{15}{37}\cdot\dfrac{38}{41}-\dfrac{15}{37}\cdot\dfrac{74}{45}-\dfrac{38}{41}\cdot\dfrac{15}{37}-\dfrac{38}{41}\cdot\dfrac{82}{76}\)
\(=\dfrac{-2}{3}-1=-\dfrac{5}{3}\)
2: \(=\dfrac{47}{53}\cdot\dfrac{17}{3}-\dfrac{47}{53}\cdot\dfrac{53}{47}+\dfrac{17}{3}\cdot\dfrac{6}{17}-\dfrac{17}{3}\cdot\dfrac{47}{53}\)
\(=-1+2=1\)
\(\left(1+\frac{1}{11}\right)\left(1+\frac{1}{12}\right)...\left(1+\frac{1}{16}\right)\)
\(=\frac{12.13.14....17}{11.12.13....16}=\frac{17}{11}\)
a) 27/82<27/81=3
26/76>26/78=3
suy ra 27/82<26/76
b) -49/78<-49/-95
Mà -49/-95<64/-95
Suy ra -49/78<64/-95
Chúc bạn học tốt nha!
\(\frac{2^{76}-2^{74}}{2^{78}-2^{76}}=\frac{2^{74}\left(2^2-1\right)}{2^{76}\left(2^2-1\right)}=\frac{1}{2^2}=\frac{1}{4}\)
\(\dfrac{2^{76}-2^{74}}{2^{78}-2^{76}}=\dfrac{2^{74}\left(2^2-1\right)}{2^{76}\left(2^2-1\right)}=\dfrac{1}{2^2}=\dfrac{1}{4}\)