Thực hiện phép tính k) ( 3/ 5 ) ^10 . ( 5/ 3 ) ^10 − 13 ^4 /39^ 4 + 2014^ 0 .

k) \({\left( {\frac{3}{5}} \right)^{10}}.{\left( {\frac{5}{3}} \right)^{10}} - \frac{{{{13}^4}}}{{{{39}^4}}} + {2014^0}\)

\( = {\left( {\frac{3}{5}.\frac{5}{3}} \right)^{10}} - {\left( {\frac{{13}}{{39}}} \right)^4} + 1\)

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

\( = \frac{{2.81 - 1}}{{81}} = \frac{{161}}{{81}}\).