Question

Tính giá trị của phân số:

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

Answer 1

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

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

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

Answer 2

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

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

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