(1,0 điểm) Thực hiện phép tính: a) 23 1 3 : ( − 5 7 ) − 13 1 3 . ( − 7 5 ) + 2 2 ;b) √ 0 , 04 . 3 4 + 1 5 : 2 2 − 0 , 2. ( − 2025 ) 0 .

a) \(23\frac{1}{3}:\left( { - \frac{5}{7}} \right) - 13\frac{1}{3}.\left( { - \frac{7}{5}} \right) + {2^2}\)

\( = 23\frac{1}{3}.\left( { - \frac{7}{5}} \right) - 13\frac{1}{3}.\left( { - \frac{7}{5}} \right) + 4\)

\( = \left( {23\frac{1}{3} - 13\frac{1}{3}} \right).\left( { - \frac{7}{5}} \right) + 4\)

\( = 10.\left( { - \frac{7}{5}} \right) + 4\)

\( = - 14 + 4\)

\( = - 10.\)

b) \(\sqrt {0,04} .\frac{3}{4} + \frac{1}{5}:{2^2} - 0,2.{\left( { - 2025} \right)^0}\)

\( = \sqrt {{{\left( {0,2} \right)}^2}} .\frac{3}{4} + \frac{1}{5}:4 - 0,2.1\)

\( = 0,2.\frac{3}{4} + \frac{1}{5}.\frac{1}{4} - \frac{1}{5}\)

\( = \frac{1}{5}.\frac{3}{4} + \frac{1}{5}.\frac{1}{4} - \frac{1}{5}\)

\( = \frac{1}{5}.\left( {\frac{3}{4} + \frac{1}{4} - 1} \right)\)

\( = \frac{1}{5}.\left( {1 - 1} \right)\)

\( = \frac{1}{5}.0\)

\( = 0.\)