1202 

8899

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

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

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

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

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

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

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

\(\dfrac{\text{2.4 + 2.4.8 + 4.8.16 + 8.16.32 + 16.32.64 }}{3.4+2.6.8+4.12.16+8.24.32+16.48.64}\)

= \(\dfrac{2+4+8+16+32}{3+6+12+24+48}\)= \(\dfrac{2+2+2+2+2}{3+3+3+3+3}\)

= \(\dfrac{10}{15}\) = \(\dfrac{2}{3}\)

\(\dfrac{2.4+2.4.8+4.8.16+16.32.64}{3.4+2.6.8+4.12.16+8.24.32+16.48.64}\)

=\(\dfrac{8+64+512+4096+32768}{12+96+768+6144+49152}\)

=\(\dfrac{37448}{56172}\)=\(\dfrac{2}{3}\)

\(\frac{2.4+2.4.8+4.8.16+8.16.32}{3.4+2.6.8+4.12.16+8.16.32}\)

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

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

cảm ơn bạn