Câu hỏi:
17/07/2024 58
\( - \frac{{{2^{15}}\,\,.\,\,{9^4}}}{{{6^6}\,\,.\,\,{8^3}}} + 0,75\,\,.\,\,\frac{{ - 1}}{2} + 0,375\).
Trả lời:
Lời giải:
\( - \frac{{{2^{15}}\,\,.\,\,{9^4}}}{{{6^6}\,\,.\,\,{8^3}}} + 0,75\,\,.\,\,\frac{{ - 1}}{2} + 0,375\)
\( = - \frac{{{2^{15}}\,\,.\,\,{{\left( {{3^2}} \right)}^4}}}{{{{(2\,.\,3)}^6}\,\,.\,\,{{\left( {{2^3}} \right)}^3}}} + ( - 0,375) + 0,375\)
\( = - \frac{{{2^{15}}\,\,.\,\,{3^8}}}{{{2^6}\,.\,{3^6}\,\,.\,\,{2^9}}} + [( - 0,375) + 0,375]\)
\( = - \frac{{{2^{15}}\,\,.\,\,{3^8}}}{{{2^6}\,.\,{3^6}\,\,.\,\,{2^9}}} + [( - 0,375) + 0,375]\)
\( = - \frac{{{3^8}}}{{{3^6}}} = - {3^2} = - 9\).
Lời giải:
\( - \frac{{{2^{15}}\,\,.\,\,{9^4}}}{{{6^6}\,\,.\,\,{8^3}}} + 0,75\,\,.\,\,\frac{{ - 1}}{2} + 0,375\)
\( = - \frac{{{2^{15}}\,\,.\,\,{{\left( {{3^2}} \right)}^4}}}{{{{(2\,.\,3)}^6}\,\,.\,\,{{\left( {{2^3}} \right)}^3}}} + ( - 0,375) + 0,375\)
\( = - \frac{{{2^{15}}\,\,.\,\,{3^8}}}{{{2^6}\,.\,{3^6}\,\,.\,\,{2^9}}} + [( - 0,375) + 0,375]\)
\( = - \frac{{{2^{15}}\,\,.\,\,{3^8}}}{{{2^6}\,.\,{3^6}\,\,.\,\,{2^9}}} + [( - 0,375) + 0,375]\)
\( = - \frac{{{3^8}}}{{{3^6}}} = - {3^2} = - 9\).CÂU HỎI HOT CÙNG CHỦ ĐỀ
Câu 1:
\(\left[ {\left( {\frac{{ - 3}}{8} + \frac{{11}}{{23}}} \right):\frac{5}{9} + \left( {\frac{{ - 5}}{8} + \frac{{12}}{{23}}} \right):\frac{5}{9}} \right]\,\,.\,\,\frac{{ - 11}}{{325}}\);
\(\left[ {\left( {\frac{{ - 3}}{8} + \frac{{11}}{{23}}} \right):\frac{5}{9} + \left( {\frac{{ - 5}}{8} + \frac{{12}}{{23}}} \right):\frac{5}{9}} \right]\,\,.\,\,\frac{{ - 11}}{{325}}\);
Câu 3:
Sắp xếp các số sau theo thứ tự tăng dần: \(\frac{{21}}{{11}};\,\,1\frac{1}{2};\,\,\frac{3}{7};\,\,\frac{{ - 13}}{6};\,\,\frac{{ - 1}}{5};\,\, - 3,7\).
Câu 4:
Tính một cách hợp lí:
\(\frac{{ - 5}}{7}\,\,.\,\,\frac{2}{{11}} + \frac{{ - 5}}{7}\,\,.\,\,\frac{9}{{11}} + \frac{5}{7}\);
Tính một cách hợp lí:
\(\frac{{ - 5}}{7}\,\,.\,\,\frac{2}{{11}} + \frac{{ - 5}}{7}\,\,.\,\,\frac{9}{{11}} + \frac{5}{7}\);