Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(B=\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}=\frac{\left(2^2\right)^6.\left(3^2\right)^5+\left(2.3\right)^9.2^3.3.5}{\left(2^3\right)^4.3^{12}-\left(2.3\right)^{11}}=\frac{2^{12}.3^{10}+2^9.2^3.3^9.3.5}{2^{12}.3^{12}-2^{11}.3^{11}}=\frac{2^{12}.3^{10}+2^{12}.3^{10}.5}{2^{11}.3^{11}.\left(2.3-1\right)}=\frac{2^{12}.3^{10}.\left(1+5\right)}{2^{11}.3^{11}.5}\)
=\(\frac{2^{12}.3^{10}.6}{2^{11}.3^{11}.5}=\frac{2^{13}.3^{11}}{2^{11}.3^{11}.5}=\frac{2^2}{5}=\frac{4}{5}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
ko chép đề
\(=\frac{18.17.5}{5.21.17}=\frac{18}{21}=\frac{6}{7}\)
\(\frac{3.7.13.2}{13.7.7}=\frac{6}{7}\)
sorry bạn mik làm tắt
6/7 và 6/7 bằng nhau nha
\(\frac{36.85.20}{25.84.34}=\frac{2^2.3^2.5.17.2^2.5}{5^2.2^2.3.7.2.17}=\frac{2^4.3^2.5^2.17}{2^3.3.5^2.7.17}=\frac{6}{7}\) 1
\(\frac{30.63.65.8}{117.200.49}=\frac{2.3.5.3^2.7.5.13.2^3}{3^2.13.2^3.5^2.7^2}=\frac{2^4.3^3.5^2.7.13}{2^3.3^2.5^2.7^2.13}=\frac{6}{7}\) 2
Từ 1 và hai suy ra \(\frac{6}{7}=\frac{6}{7}\)
Nên hai phép tính bằng nhau
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(A=\frac{9^4.27^5.3^6.3^4}{3^8.814.234.8^2}=\frac{\left(3^2\right)^4.\left(3^3\right)^5.3^{10}}{3^8.2.407.2.3^2.13.\left(2^3\right)^2}=\frac{3^8.3^{15}.3^{10}}{2^8.3^{10}.13.407}=\frac{3^{23}}{2^8.13.407}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(B=\frac{36.85.20}{25.84.34}=\)\(\frac{6.6.5.17.4.5}{5.5.14.6.17.2}\)\(=\frac{6}{7}\)
\(C=\frac{30.63.65.8}{117.200.49}=\frac{6.5.7.9.5.13.23}{13.9.5.5.8.7.7}=\frac{6}{7}\)
\(\Rightarrow\)2 biểu thức B = C
thks n`, các bn trả lời đi, mk sẽ like vẻn vẹn 3 cái nữa thui đó!
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(\frac{1}{5\cdot6}+\frac{1}{6\cdot7}+\frac{1}{7\cdot8}+...+\frac{1}{24\cdot25}\)
\(\Leftrightarrow\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+...+\frac{1}{24}-\frac{1}{25}\)
\(\Leftrightarrow\frac{1}{5}-\frac{1}{25}\)
\(\Leftrightarrow\frac{4}{25}\)
a/ =1/5-1/6+1/6-1/7+1/7-1/8+...+1/24-1/25=1/5-1/25=4/25
Mấy câu còn lại thì từ từ!