rút gọn phân số 5^2*6^11*16^2+6^2*12^6*15^2/2*6^12*10^4-81^2*936^3
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)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{5^2.6^{11}.16^2+6^2.12^6.15^2}{2.6^{12}.10^4-81^2.960^3}\)
\(=\frac{5^2.2^{11}.3^{11}.2^8+2^2.3^2.2^6.2^6.3^6.3^2.5^2}{2.2^{12}.3^{12}.2^4.5^4-3^4.2^{18}.3^3.5^3}\)
\(=\frac{5^2.2^{19}.3^{11}+2^{14}.3^{10}.5^2}{2^{17}.3^{12}.5^4-3^7.2^{18}.5^3}\)
\(=\frac{5^2.2^{14}.3^{10}.\left(2^5.3-1\right)}{2^{17}.3^7.5^3.\left(3^5.5-2\right)}\)
\(=\frac{3^3.95}{2^3.5.1213}\)
\(=\frac{2565}{48520}\)\(=\frac{513}{9704}\)
Bạn Aoi Ogata trả lời sai rồi mình bấm máy tính kết quả khác cơ nhưng mình vẩn cho bạn một k nhé
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{5^2.6^{11}.16^2+6^2.12^6.15^2}{2.6^{12}.10^4-81^2.960^3}\)
\(=\frac{2^{19}.5^2.3^{11}+2^{14}.3^{10}.5^2}{2^{17}.3^{12}.5^4-2^{18}.3^{11}.5^3}\)
\(=\frac{2^{14}.3^{10}.5^2\left(2^5.3+1\right)}{2^{17}.3^{11}.5^3\left(3.5-2\right)}=\frac{97}{2^3.3.5.13}=\frac{97}{1560}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)