Nội dung bài giảng
Thực hiên phép tính:
a. \(\left( {{{7.3}^5} - {3^4} + {3^6}} \right):{3^4}\)
b. \(\left( {{{16}^3} - {{64}^2}} \right):{8^3}\)
Giải:
a. \(\left( {{{7.3}^5} - {3^4} + {3^6}} \right):{3^4}\) \( = \left( {{{7.3}^5}:{3^4}} \right) + \left( { - {3^4}:{3^4}} \right) + \left( {{3^6}:{3^4}} \right)\)
\( = 7.3 - 1 + {3^2} = 21 - 1 + 9 = 29\)
b. \(\left( {{{16}^3} - {{64}^2}} \right):{8^3}\) \( = \left[ {{{\left( {2.8} \right)}^3} - {{\left( {{8^2}} \right)}^2}} \right]:{8^3} = \left( {{2^3}{{.8}^3} - {8^4}} \right):{8^3}\)
= \(\left( {{2^3}{{.8}^3}:{8^3}} \right) + \left( { - {8^4}:{8^3}} \right) = {2^3} - 8 = 8 - 8 = 0\)