Thực hiện phép tính a) ( 5/2 ) ^5 . ( 4/5 )^5

a) \[{\left( {\frac{5}{2}} \right)^5}.{\left( {\frac{4}{5}} \right)^5} = {\left( {\frac{5}{2}.\frac{4}{5}} \right)^5}\]\[ = {2^5} = 32\]b) \[{\left( {\frac{{12}}{{25}}} \right)^3}:{\left( { - \frac{4}{5}} \right)^3} = {\left( {\frac{{12}}{{25}}:\frac{{ - 4}}{5}} \right)^3} = {\left( {\frac{{12}}{{25}}.\frac{5}{{ - 4}}} \right)^3}\]\[ = {\left( {\frac{{ - 3}}{5}} \right)^3}\] \[ = \frac{{ - 27}}{{125}}.\]c) \[{5^{10}} + {5^{12}} - {\left( {{5^3}} \right)^4} = {5^{10}} + {5^{12}} - {5^{12}}\]  \[ = {5^{10}}\]