\(\frac{2.4+2.4.8+4.8.16+8.16.32}{3.4+2.6.8+4.12.16+8.24.32}=\frac{2.4+2.4.2.2.2.2+4.2.4.4.4+4.2.2.4.2.4.8}{3.4+2.3.2.4.2+4.3.4.4.4+4.2.4.3.2.4.8}\)

\(=\frac{2.4\left(1+2.2.2+4.4.4+2.4.2.4.8\right)}{3.4\left(1+2.2.2+4.4.4+2.4.2.4.8\right)}\)

\(=\frac{2.4}{3.4}\)

\(=\frac{2}{3}\)

\(=\frac{1.2.4\left(1+2.2.2+4.4.4+8.8.8+16.16.16\right)}{1.3.4\left(1+2.2.2+4.4.4+8.8.8+16.16.16\right)}=\frac{2}{3}\)

1202 

8899

\(=\frac{2\left(4+2.2.8+4.4.16+8.8.32\right)}{3\left(4+2.2.8+4.4.16+8.8.32\right)}=\frac{2}{3}\)

thế thì có nhiều chi tiết bạn có thể giải hộ mình đc ko ?

Tí nữa có điện mình làm cho .-. 

ok bạn

2.4+2.4.8+ 4.8.16 + 8.16.32/ 3.4 + 2.6.8 + 4.12.16 + 8.24.32

= 2.4( 1+ 8+ 8.8 + 8.8.8) / 3.4(1+ 8 + 8.8 +8.8.8)

= 2.4/3.4

= 2/3

\(M=\frac{1.2.4+2.4.8+4.8.16+8.16.32}{1.3.4+2.6.8+4.12.16+8.24.32}\)

\(M=\frac{\left(1.2.4\right).1^3+\left(1.2.4\right).2^3+\left(1.2.4\right).4^3+\left(1.2.4\right).8^3}{\left(1.3.4\right).1^3+\left(1.3.4\right).2^3+\left(1.3.4\right).4^3+\left(1.3.4\right).8^3}\)

\(M=\frac{\left(1.2.4\right).\left(1^3+2^3+4^3+8^3\right)}{\left(1.3.4\right).\left(1^3+2^3+4^3+8^3\right)}\)

M = \(\frac{2}{3}\)