Question

Cum Se Rezolva Operatia:
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

10³/5²+10·(2¹°/64+2³·(1035/(5·3²)-(2³⁷·7³⁷)²/(4³⁶·49³⁷)/2))=
(2·5)³:5²+10[2¹°:2⁶+2³(5·3²·23:5·3²-2⁷⁴·7⁷⁴:(2²)³⁶·(7²)³⁷:2]=
2³·5³:5²+10[2¹°⁻⁶+2³(5¹⁻¹·3²⁻²·23-2⁷⁴·7⁷⁴:2⁷²·7⁷²:2]=
2³·5³⁻²+10[2⁴+2³(5°·3°·23-2⁷⁴⁻⁷²⁻¹·7⁷⁴⁻⁷²]=
2³·5+10[2⁴+2³(1·1·23-2·7²]=
8·5+10[16+8(23-98)]=
40+10[16+8·(-75)]=
40+10[16-600]=
40+10·(-586)=40-5680=-5640