Đề bài

Tính: a) \({2^5}\);                             b) \({( - {\rm{ }}5)^3}\); c) \({(0,4)^3}\);                  d) \({( - {\rm{ 0,4)}}^3}\); e) \({\left( {\dfrac{1}{2}} \right)^5}\);                            g) \({\left( {\dfrac{{ - 1}}{3}} \right)^4}\);          h) \({(21,5)^0}\);                         i) \({\left( {3\dfrac{1}{2}} \right)^2}\).

Lời giải chi tiết

a) \({2^5} = 2.2.2.2.2 = 32\);                                            b) \({( - {\rm{ }}5)^3} = ( - {\rm{ }}5).( - {\rm{ }}5).( - {\rm{ }}5) =  - 125\);           c) \({(0,4)^3} = (0,4).(0,4).(0,4) = 0,064\); d) \({( - {\rm{ 0,4)}}^3} = ( - {\rm{ 0,4}}).( - {\rm{ 0,4}}).( - {\rm{ 0,4}}) =  - 0,064\); e) \({\left( {\dfrac{1}{2}} \right)^5} \) \(= \left( {\dfrac{1}{2}} \right).\left( {\dfrac{1}{2}} \right).\left( {\dfrac{1}{2}} \right).\left( {\dfrac{1}{2}} \right).\left( {\dfrac{1}{2}} \right) = \dfrac{1}{{32}}\);        g) \({\left( {\dfrac{{ - 1}}{3}} \right)^4} \) \(= \left( {\dfrac{{ - 1}}{3}} \right).\left( {\dfrac{{ - 1}}{3}} \right).\left( {\dfrac{{ - 1}}{3}} \right).\left( {\dfrac{{ - 1}}{3}} \right) = \dfrac{1}{{81}}\);        h) \({(21,5)^0} = 1\); i) \({\left( {3\dfrac{1}{2}} \right)^2}\) \(= {\left( {\dfrac{7}{2}} \right)^2} = \left( {\dfrac{7}{2}} \right).\left( {\dfrac{7}{2}} \right) = \dfrac{{49}}{4}\).