Question

Tính bằng cách thuận tiện nhất :

\(\frac{64\times64+256\times256}{256\times256+1024\times1024}\)

Answer 1

(64 x 64 +256 x 256)/ (256 x 256 + 1024 x 1024)

= (64 x 64 + 64 x4 x 64 x 4)/(256 x 256 + 256 x4 x 256 x4)

= [64 x 64(1+4 x4 )]/[256 x 256(1+ 4x4)]

=64 x 64 /256 x 256

= 64 x 64 / 64 x4 x 64 x4  

= 1/16

Answer 2

\(\frac{\text{(64 x 64 +256 x 256)}}{\text{(256 x 256 + 1024 x 1024) }}\)

= \(\frac{\text{(64 x 64 + 64 x4 x 64 x 4)}}{\text{(256 x 256 + 256 x4 x 256 x4) }}\)

= \(\frac{\text{[64 x 64(1+4 x4 )]}}{\text{[256 x 256(1+ 4x4)] }}\)

=\(\frac{\text{64 x 64}}{\text{256 x 256 }}\) 

= \(\frac{\text{ 64 x 64 }}{\text{64 x4 x 64 x4 }}\)

= \(\frac{1}{\text{16}}\)