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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
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{2^{76}-2^{74}}{2^{78}-2^{76}}=\frac{2^{74}\left(2^2-1\right)}{2^{74}\left(2^4-2^2\right)}=\frac{4-1}{16-4}=\frac{1}{4}\)
\(1+\frac{1}{11}=\frac{12}{11}\)
\(1+\frac{1}{12}=\frac{13}{12}\)
\(1+\frac{1}{13}=\frac{14}{13}\)
\(1+\frac{1}{14}=\frac{15}{14}\)
\(1+\frac{1}{15}=\frac{16}{15}\)
\(1+\frac{1}{16}=\frac{17}{16}\)
\(\left(1+\frac{1}{11}\right)\left(1+\frac{1}{12}\right)...\left(1+\frac{1}{16}\right)=\frac{12.13.14.15.16.17}{11.12.13.14.15.16}=\frac{17}{11}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{2^{76}-2^{74}}{2^{78}-2^{76}}=\frac{2^{74}\left(2^2-1\right)}{2^{76}\left(2^2-1\right)}=\frac{1}{2^2}=\frac{1}{4}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\dfrac{2^{76}-2^{74}}{2^{78}-2^{76}}=\dfrac{2^{74}\left(2^2-1\right)}{2^{76}\left(2^2-1\right)}=\dfrac{1}{2^2}=\dfrac{1}{4}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
d) Ta có: \(\dfrac{2^{76}-2^{74}}{2^{78}-2^{76}}\)
\(=\dfrac{2^{74}\left(2^2-1\right)}{2^{76}\left(2^2-1\right)}=\dfrac{2^{74}}{2^{76}}\)
\(=\dfrac{1}{2^2}=\dfrac{1}{4}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
276 - 274/278 - 276
= 274 . ( 22 - 1)/276 . ( 22 - 1)
= 274/276
= 1/22 = 1/4
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{2^{76}-2^{74}}{2^{78}-2^{76}}=\frac{2^{74}\left(2^2-1\right)}{2^{76}\left(2^2-1\right)}=\frac{2^{74}}{2^{76}}=\frac{1}{2^2}=\frac{1}{4}.\)
học tốt ~~~
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left(1+\frac{1}{11}\right)\left(1+\frac{1}{12}\right)...\left(1+\frac{1}{16}\right)\)
\(=\frac{12.13.14....17}{11.12.13....16}=\frac{17}{11}\)
\(\frac{37.7+37.3}{74.25-74.10}=\frac{37.\left(7+3\right)}{74.\left(25-10\right)}=\frac{37.10}{37.2.15}=\frac{10}{30}=\frac{1}{3}\)
\(\frac{2^{76}-2^{74}}{2^{78}-2^{76}}=\frac{2^{74}.2^2-2^{74}}{2^{76}.2^2-2^{76}}=\frac{2^{74}.\left(2^2-1\right)}{2^{76}.\left(2^2-1\right)}=\frac{2^{74}}{2^{74}.2^2}=\frac{1}{2^2}=\frac{1}{4}\)
kq la 1/4
ai h cho minh minh h lai cho