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a) \(\frac{3^{17}.81^{11}}{27^{10}.9^{15}}=\frac{3^{17}.\left(3^4\right)^{11}}{\left(3^3\right)^{10}.\left(3^2\right)^{15}}=\frac{3^{17}.3^{44}}{3^{30}.3^{30}}=\frac{3^{61}}{3^{60}}=3\)
b) \(\frac{9^2.2^{11}}{16^2.6^3}=\frac{\left(3^2\right)^2.2^{11}}{\left(2^4\right)^2.\left(2.3\right)^3}=\frac{3^4.2^{11}}{2^8.2^3.3^3}=3\)
c) \(\frac{2^{10}.3^{31}+2^{40}.3^6}{2^{11}.3^{31}+2^{41}.3^6}=\frac{2^{10}.3^6.\left(3^{25}+2^{30}\right)}{2^{11}.3^6.\left(3^{25}+2^{30}\right)}=\frac{1}{2}\)
d) \(a.\left(-b\right).\left(-a\right)^2\left(-b\right)^3.\left(-a\right)^3.\left(-b\right)^4=-a^6b^8\)
\(\left(-\frac{3}{7}+\frac{5}{11}\right):\frac{4}{31}+\left(-\frac{4}{7}+\frac{6}{11}\right):\frac{4}{31}\)
\(=\left(-\frac{3}{7}+\frac{5}{11}\right)\cdot\frac{31}{4}+\left(-\frac{4}{7}+\frac{6}{11}\right)\cdot\frac{31}{4}\)
\(=-\frac{3}{7}\cdot\frac{31}{4}+\frac{5}{11}\cdot\frac{31}{4}-\frac{4}{7}\cdot\frac{31}{4}+\frac{6}{11}\cdot\frac{31}{4}\)
\(=\frac{31}{4}\cdot\left(-\frac{3}{7}-\frac{4}{7}+\frac{5}{11}+\frac{6}{11}\right)\)
\(=\frac{31}{4}\cdot\left(-1+1\right)\)
\(=\frac{31}{4}\cdot0\)
\(=0\)
\(\dfrac{3}{4}-\left[\left(-\dfrac{3}{5}\right)-\left(\dfrac{1}{12}+\dfrac{2}{4}\right)\right]\\ =\dfrac{3}{4}-\left[\left(-\dfrac{3}{5}\right)-\left(\dfrac{1}{12}+\dfrac{6}{12}\right)\right]\\ =\dfrac{3}{4}-\left[\left(-\dfrac{3}{5}\right)-\dfrac{7}{12}\right]\\ =\dfrac{3}{4}-\left[\left(-\dfrac{36}{60}\right)-\dfrac{35}{60}\right]\\ =\dfrac{3}{4}-\left(-\dfrac{71}{60}\right)\\ =\dfrac{3}{4}+\dfrac{71}{60}\\ =\dfrac{35}{60}+\dfrac{71}{60}\\ =\dfrac{106}{60}\\ =\dfrac{53}{30}\)
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\(-\dfrac{6}{7}.\dfrac{21}{12}\\ =-\dfrac{126}{84}\\ =-\dfrac{63}{42}\\ =-\dfrac{31}{14}\)
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\(\left(-5\right).\left(-\dfrac{6}{20}\right)\\ =\dfrac{\left(-5\right).\left(-6\right)}{20}\\ =\dfrac{30}{20}\\ =\dfrac{3}{2}\)
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d, \(\left(-\frac{3}{4}+\frac{2}{5}\right):\frac{3}{7}+\left[\frac{3}{5}+\left(-\frac{1}{4}\right)\right]:\frac{3}{7}\)
\(=\frac{7}{20}:\frac{3}{7}+\frac{7}{20}:\frac{3}{7}\)
\(=0\)
3/5/7 là hỗn số nhé ba năm phần bảy
tương tự như mấy câu khác nhé
=17/2 nha bạn
= \(\frac{17}{2}\)nhé