11/30 - 9/8 ×15/27
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a: \(=\dfrac{20\left(1-12\right)}{30\left(-1-10\right)}=\dfrac{2}{3}\)
b: \(=\dfrac{11^9\cdot3^{18}}{3^{18}\cdot11^{11}}=\dfrac{1}{121}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a: \(=\dfrac{20\left(1-12\right)}{30\left(-1-10\right)}=\dfrac{20}{30}=\dfrac{2}{3}\)
b: \(=\dfrac{11^9\cdot3^{18}}{3^{10}\cdot11^{11}\cdot3^8}=\dfrac{1}{121}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{9^{15}.\left(-6\right)^{30}}{27^{21}.8^{11}}=\frac{\left(3^2\right)^{15}.\left(-6\right)^{30}}{\left(3^3\right)^{21}.8^{11}}=\frac{3^{30}.\left(-6\right)^{30}}{3^{63}.8^{11}}\)
Sau đó bạn tách ra rồi rút gọn là xong
Chúc bạn học tốt!
![](https://rs.olm.vn/images/avt/0.png?1311)
\(=\frac{9^{15}.6^{30}}{27^{21}.8^{11}}\)
\(=\frac{\left(3^2\right)^{15}.3^{30}.2^{30}}{\left(3^3\right)^{21}.\left(2^3\right)^{11}}\)
\(=\frac{3^{30}.3^{30}.2^{30}}{3^{63}.2^{33}}\)
\(=\frac{3^{60}.2^{30}}{2^{63}.3^{33}}=\frac{1}{2^3.3^3}=\frac{1}{216}\)
làm mẫu một bài còn lại tương tự nha bn =)
\(\frac{9^{15}.6^{30}}{27^{21}.8^{11}}=\frac{\left(3^2\right)^{15}.\left(2.3\right)^{30}}{\left(3^3\right)^{21}.\left(2^3\right)^{11}}=\frac{3^{60}.2^{30}}{3^{63}.2^{33}}=\frac{1}{3^3.2^3}\)
\(\frac{45^{12}.49^7}{35^{13}.27^8}=\frac{\left(5.3^2\right)^{12}.\left(7^2\right)^7}{\left(5.7\right)^{13}.\left(3^3\right)^8}=\frac{5^{12}.3^{24}.7^{14}}{5^{13}.7^{13}.3^{24}}=\frac{7}{5}\)
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3/4+1/2+5/8=15/8
5/9+9/8-15/28=577/504
11/30-9/25x15/27=1/6
3/4:5/8:3/10=4
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\dfrac{11}{30}-\dfrac{9}{25}\times\dfrac{15}{27}=\dfrac{11}{30}-\dfrac{9}{25}\times\dfrac{5}{9}=\dfrac{11}{30}-\dfrac{45}{225}\)
\(=\dfrac{11}{30}-\dfrac{1}{5}=\dfrac{11}{30}-\dfrac{6}{30}=\dfrac{5}{30}=\dfrac{1}{6}\)
bang-31/120
\(\frac{11}{30}-\frac{9}{8}\times\frac{15}{27}\)
\(=\frac{11}{30}-\frac{9}{8}\times\frac{5}{9}\)
\(=\frac{11}{30}-\frac{5}{8}\)
\(=-\frac{31}{120}\)