Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(\frac{5\cdot8+10\cdot24+15\cdot32}{10\cdot16+20\cdot48+30\cdot64}\)
\(\frac{5\cdot8\left(1+2\cdot3+3\cdot4\right)}{10\cdot16\left(1+2\cdot3+3\cdot4\right)}\)
\(\frac{1}{4}\)
\(\frac{5.8+10.24+15.32}{10.16+20.48=30.64}\)
\(\frac{40+40.6+40.12}{160+160.6+160.12}\)
\(\frac{40.\left(1+6+12\right)}{160.\left(1+6+12\right)}\)
\(\frac{40}{140}=\frac{1}{4}\)
Thanks bạn nha , đúng là trường hợp khẩn cấp thì lại có bạn , thanks bạn so ,so ,so, so ,so,.... much
\(\frac{9^{14}.25^5.8^7}{18^{12}.625^3.24^3}\)
\(=\frac{\left(3^2\right)^{14}.\left(5^2\right)^5.\left(2^3\right)^7}{\left(2.3^2\right)^{12}.\left(5^4\right)^3.\left(2^3.3\right)^3}\)
\(=\frac{3^{28}.5^{10}.2^{21}}{2^{12}.3^{24}.5^{12}.2^9.3}\)
\(=\frac{3^{28}.5^{10}.2^{21}}{2^{21}.3^{25}.5^{12}}\)
\(=\frac{3^3.1.1}{1.1.5^2}\)
\(=\frac{27}{25}\)
9D=2.5.9+5.8.9+8.11.9+11.14.9+...+62.65.9+65.68.9
9D=2.5.9+5.8.(11-2)+8.11.(14-5)+11.14.(17-8)+...+62.65.(68-59)+65.68.(71-62)
9D=2.5.9+5.8.11-2.5.8+8.11.14-5.8.11+11.14.17-8.11.14+...+62.65.68-59.62.65+65.68.71-62.65.67
Rút gọn các phần giống nhau còn
9D=2.5.9-2.5.8+65.68.71
9D=10+65.68.71
9D=10+313820
9D=313830
D=313830:9=34870
Vậy D=34870
\(\frac{9^{14}\cdot25^5\cdot8^7}{18^{12}\cdot625^3\cdot24^3}=\frac{\left(3^2\right)^{14}\cdot\left(5^2\right)^5\cdot\left(2^3\right)^7}{\left(3^2\cdot2\right)^{12}\cdot\left(5^4\right)^3\cdot\left(3\cdot2^3\right)^3}\)
\(=\frac{3^{28}\cdot5^{10}\cdot2^{21}}{3^{24}\cdot2^{12}\cdot5^{12}\cdot3^3\cdot2^9}=\frac{3^{28}\cdot5^{10}\cdot2^{21}}{3^{25}\cdot5^{12}\cdot2^{21}}=\frac{3^3}{5^2}=\frac{27}{25}\)