\(\frac{2^{76}-2^{74}}{2^{78}-2^{76}}=\frac{2^{74}\left(2^2-1\right)}{2^{76}\left(2^2-1\right)}=\frac{1}{2^2}=\frac{1}{4}\)

\(\frac{37.7+37.3}{74.25-74.10}=\frac{37.\left(7+3\right)}{74.\left(25-10\right)}=\frac{37.10}{37.2.15}=\frac{10}{30}=\frac{1}{3}\)   

\(\frac{2^{76}-2^{74}}{2^{78}-2^{76}}=\frac{2^{74}.2^2-2^{74}}{2^{76}.2^2-2^{76}}=\frac{2^{74}.\left(2^2-1\right)}{2^{76}.\left(2^2-1\right)}=\frac{2^{74}}{2^{74}.2^2}=\frac{1}{2^2}=\frac{1}{4}\)

kq la 1/4

ai h cho minh minh h lai cho

d) Ta có: \(\dfrac{2^{76}-2^{74}}{2^{78}-2^{76}}\)

\(=\dfrac{2^{74}\left(2^2-1\right)}{2^{76}\left(2^2-1\right)}=\dfrac{2^{74}}{2^{76}}\)

\(=\dfrac{1}{2^2}=\dfrac{1}{4}\)

2⁷⁶ - 2⁷⁴/2⁷⁸ - 2⁷⁶

= 2⁷⁴ . ( 2² - 1)/2⁷⁶ . ( 2² - 1)

= 2⁷⁴/2⁷⁶

= 1/2² = 1/4

\(\frac{2^{76}-2^{74}}{2^{78}-2^{76}}=\frac{2^{74}\left(2^2-1\right)}{2^{76}\left(2^2-1\right)}=\frac{2^{74}}{2^{76}}=\frac{1}{2^2}=\frac{1}{4}.\)

học tốt ~~~

\(\frac{2^{76}-2^{74}}{2^{78}-2^{76}}=\frac{2^{74}\left(2^2-1\right)}{2^{74}\left(2^4-2^2\right)}=\frac{4-1}{16-4}=\frac{1}{4}\)

\(1+\frac{1}{11}=\frac{12}{11}\)

\(1+\frac{1}{12}=\frac{13}{12}\)

\(1+\frac{1}{13}=\frac{14}{13}\)

\(1+\frac{1}{14}=\frac{15}{14}\)

\(1+\frac{1}{15}=\frac{16}{15}\)

\(1+\frac{1}{16}=\frac{17}{16}\)

\(\left(1+\frac{1}{11}\right)\left(1+\frac{1}{12}\right)...\left(1+\frac{1}{16}\right)=\frac{12.13.14.15.16.17}{11.12.13.14.15.16}=\frac{17}{11}\)

\(\dfrac{2^{76}-2^{74}}{2^{78}-2^{76}}=\dfrac{2^{74}\left(2^2-1\right)}{2^{76}\left(2^2-1\right)}=\dfrac{1}{2^2}=\dfrac{1}{4}\)

\(\left(1+\frac{1}{11}\right)\left(1+\frac{1}{12}\right)...\left(1+\frac{1}{16}\right)\)

\(=\frac{12.13.14....17}{11.12.13....16}=\frac{17}{11}\)

toi ko biet lm