Thực hiện phép tính (tính hợp lí nếu có):

9/13

Thực hiện phép tính (tính hợp lí nếu có):

1) \(\frac{5}{{12}} - \frac{1}{5}.\) 2) \(6.{\left( { - \frac{1}{3}} \right)^2} - \frac{1}{9}.\)

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

Nhập câu trả lời ở đây

0/3000 ký tự

Giải thích

1) \(\frac{5}{{12}} - \frac{1}{5} = \frac{{25}}{{60}} - \frac{{12}}{{60}} = \frac{{13}}{{60}}.\)

2) 6. \({\left( { - \frac{1}{3}} \right)^2} - \frac{1}{9} = 6 \cdot \frac{1}{9} - \frac{1}{9}\)

\( = \frac{6}{9} - \frac{1}{9} = \frac{5}{9}.\)

3) \({\left( {\frac{1}{5}} \right)^5}:{\left( {\frac{1}{5}} \right)^3} - {\left( {\frac{{ - 1}}{3}} \right)^3}:{\left( {\frac{{ - 1}}{3}} \right)^2} = {\left( {\frac{1}{5}} \right)^2} - \left( { - \frac{1}{3}} \right)\)

\( = \frac{1}{{25}} + \frac{1}{3} = \frac{3}{{75}} + \frac{{25}}{{75}} = \frac{{28}}{{75}}.\)

4) \(\left( {1 - \frac{2}{3} + \frac{1}{2}} \right) - \left( {2 + \frac{1}{3} - 1,5} \right)\)

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

\( = \left( {1 - 2} \right) - \left( {\frac{2}{3} + \frac{1}{3}} \right) + \left( {\frac{1}{2} + \frac{3}{2}} \right)\)

\( = - 1 - 1 + 2 = 0.\)