Question

10^3:5^2+10×{2^10:64+2^3×[1035:(5×3^2)-(2^37×7^37)^2:(4^36×49^37):2]}​

Answer 1

Răspuns:

2³ ·5³ : 5² + 10·{2^10÷2^6 + 2³ ·[ 45·23 ÷ 45 - (2^37 ·7^37)² ÷ (2^72 ·7^74)÷2]} =

= 40 + 10·{ 2^4 +2³ ·[23 - 2^74 ·7^74 ÷ (2^72 ·7^74)÷2]} =

=  5·2³ + 10{2^4 +2³ ·[23 - 2^74 ·7^74 ÷ (2^71 ·7^74 )]} =

= 5·2³ + 10·{ 2^4 +2³ ·[ 23 - 8]} = 5·2³ + 10·{2^4 + 2³ ·15} = 5·2³ + 10·2³·(2+15) =

= 5·2³ ·(1+2^4 ·17) = 5·2³ ·273 = 10920