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= \(\frac{1}{6}--\frac{10}{3}\)[1/6 - (-10/3)]
= \(\frac{7}{2}=3,5\)
a)\(\frac{23.5^2.7^2.3^7}{49.5^3.3^2.11}=\frac{23.5^2.7^2.3^7}{7^2.5^3.3^2.11}=\frac{23.3^5}{5.11}=\frac{23.243}{5.11}=\)\(\frac{5589}{55}\)
b) \(\frac{9^{14}.25^5.8^7}{18^{12}.6^{25}.3^{243}}=\frac{3^{28}.5^{10}.2^{21}}{\left(3^2.2\right)^{12}.\left(2.3\right)^{25}.3^{243}}=\frac{3^{28}.5^{10}.2^{21}}{3^{24}.2^{12}.2^{25}.3^{25}.3^{243}}=\frac{3^{28}.5^{10}.2^{21}}{3^{292}.2^{37}}=\frac{5^{10}}{3^{264}.2^{16}}\)
a) \(\frac{7^3.5^8}{49.25^4}=\frac{7^3.5^8}{7^2.\left(5^2\right)^4}=7.\frac{5^8}{5^8}=7\)
b) \(\frac{3^9.25.5^3}{15.625.3^8}=\frac{3.3^8.5^2.5^3}{3.5.5^4.3^8}=\frac{5^5}{5^5}=1\)
c) Đề hơi sai roi bạn oi
d) \(\left(\frac{2}{5}-\frac{1}{2}\right)^2+\left(\frac{1}{2}+\frac{3}{5}\right)^2=\left(\frac{-1}{10}\right)^2+\left(\frac{11}{10}\right)^2=\frac{1}{100}+\frac{121}{100}=\frac{61}{50}\)
\(1\frac{4}{25}+\frac{7}{21}-\frac{4}{25}+0,5+\frac{14}{21}\)
\(=\left(1\frac{4}{25}-\frac{4}{25}\right)+\left(\frac{7}{21}+\frac{14}{21}\right)+0,5\)
\(=1+0+0,5\)
\(=1,5\)
\(\frac{8^2\cdot5^4}{2^5\cdot25}\)\(=\)\(\frac{2^6\cdot5^4}{2^5\cdot5^2}\)\(=2\cdot5^2=50\)
\(\frac{8^2.5^4}{2^5.25}=\frac{\left(2^3\right)^2.5^4}{2^5.5^2}=\frac{2^6.5^4}{2^5.5^2}=2.5^2=2.25=50\)