Violympic toán 7
Các câu hỏi tương tự
Tính
\(A=-\dfrac{11}{12}\cdot-\dfrac{4}{33}\cdot\dfrac{84}{-25}\cdot\dfrac{5}{8}\)
\(B=3\dfrac{2}{7}\cdot12\dfrac{2}{7}-3\dfrac{2}{7}\cdot5\dfrac{1}{2}\)
\(\dfrac{-8}{5}\cdot X-\dfrac{11}{5}\cdot X=2\cdot\left(X-1\right)\)
Tìm x, biết
\(\dfrac{1}{4}\cdot\dfrac{2}{6}\cdot\dfrac{3}{8}\cdot\dfrac{4}{10}\cdot\dfrac{5}{12}\cdot...\cdot\dfrac{30}{62}\cdot\dfrac{31}{64}\)=\(4^x\)
\(\dfrac{1}{4}\cdot\dfrac{2}{6}\cdot\dfrac{3}{8}\cdot\dfrac{4}{10}\cdot\dfrac{5}{12}..........\cdot\dfrac{30}{62}\cdot\dfrac{31}{64}=2\)x
Cho C=\(\dfrac{1}{2}\cdot\dfrac{3}{4}\cdot\dfrac{5}{6}\cdot\cdot\cdot\dfrac{199}{200}\) Chứng minh C2<\(\dfrac{1}{201}\)
1)Thực hiện phép tính
a) dfrac{9^8cdot5^6}{3^7cdot27^3cdot25^4} b) dfrac{5^{20}cdot6^{18}}{15^{20}cdot4^{10}} c) left(dfrac{1}{3}right)^{50}cdot9^{25}-left(dfrac{2}{3}right)^{100}:left(dfrac{8}{27}right)^{33} d) left(dfrac{3}{8}right)^{60}cdotleft(dfrac{2}{3}right)^{60}:left(dfrac{1}{2}right)^{119}cdotleft(dfrac{1}{2}right)
2) Tìm x, biết:
a) dfrac{x}{12}dfrac{5}{x} b)8^x2^{2x+3} c)dfrac{1}{2}sqrt{dfrac{1}{2}x-2}-dfrac{2}{3}dfrac{1}{3}
Đọc tiếp
1)Thực hiện phép tính
a) \(\dfrac{9^8\cdot5^6}{3^7\cdot27^3\cdot25^4}\) b) \(\dfrac{5^{20}\cdot6^{18}}{15^{20}\cdot4^{10}}\) c) \(\left(\dfrac{1}{3}\right)^{50}\cdot9^{25}-\left(\dfrac{2}{3}\right)^{100}:\left(\dfrac{8}{27}\right)^{33}\) d) \(\left(\dfrac{3}{8}\right)^{60}\cdot\left(\dfrac{2}{3}\right)^{60}:\left(\dfrac{1}{2}\right)^{119}\cdot\left(\dfrac{1}{2}\right)\)
2) Tìm x, biết:
a) \(\dfrac{x}{12}=\dfrac{5}{x}\) b)\(8^x=2^{2x+3}\) c)\(\dfrac{1}{2}\sqrt{\dfrac{1}{2}x-2}-\dfrac{2}{3}=\dfrac{1}{3}\)
\(\left[\dfrac{3}{7}\cdot\dfrac{4}{15}+\dfrac{1}{3}\cdot\left(9^{15}\right)\right]^0\cdot\dfrac{1}{3}\cdot\dfrac{6^8}{12^4}\). Tính
Tính nhanh :
\(\dfrac{\left(\dfrac{2}{3}\right)^3\cdot\left(-\dfrac{3}{4}\right)^2\cdot\left(-1\right)^5}{\left(\dfrac{2}{5}\right)^2\cdot\left(-\dfrac{5}{12}\right)^3}\)
tính
25\(\cdot\left(\dfrac{-1}{5}\right)^3\) +\(\dfrac{1}{5}-2\cdot\left(\dfrac{-1}{2}\right)^{2^{ }}\)- \(\dfrac{1}{2}\)