Violympic toán 7
Các câu hỏi tương tự
Tính nhanh :
\(\dfrac{\left(\dfrac{2}{3}\right)^3\cdot\left(-\dfrac{3}{4}\right)^2\cdot\left(-1\right)^5}{\left(\dfrac{2}{5}\right)^2\cdot\left(-\dfrac{5}{12}\right)^3}\)
1.Tính A= \(\left(\dfrac{1}{2}-1\right)\cdot\left(\dfrac{1}{3}-1\right)\cdot\cdot\cdot\left(\dfrac{1}{2018}-1\right)\)
2. Tìm GTLN của B = \(-\left|2018\cdot x+1\right|+\dfrac{3}{13}\)
\(\left[\dfrac{3}{7}\cdot\dfrac{4}{15}+\dfrac{1}{3}\cdot\left(9^{15}\right)\right]^0\cdot\dfrac{1}{3}\cdot\dfrac{6^8}{12^4}\). Tính
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)\(\dfrac{1}{2}\sqrt{\dfrac{1}{2}x-2}-\dfrac{2}{3}=\dfrac{1}{3}\)
Tìm x:
1) dfrac{1}{4}+x-dfrac{1}{4}cdot xdfrac{3}{4}
2) left|x^2-2cdot xright|+left|xright|0
3) left|3cdot x^2-2cdot xright|x
Cho f(x) x^3-2cdot x^2+3cdot x+1. Hãy chứng minh f(x) ko có nghiệm nguyên.
Tìm x để f(x)x^3-2cdot x+1 bằng h(x) 2cdot x+1
Đọc tiếp
Tìm x:
1) \(\dfrac{1}{4}+x-\dfrac{1}{4}\cdot x=\dfrac{3}{4}\)
2) \(\left|x^2-2\cdot x\right|+\left|x\right|=0\)
3) \(\left|3\cdot x^2-2\cdot x\right|=x\)
Cho f(x) = \(x^3-2\cdot x^2+3\cdot x+1\). Hãy chứng minh f(x) ko có nghiệm nguyên.
Tìm x để f(x)=\(x^3-2\cdot x+1\) bằng h(x)= \(2\cdot x+1\)
tính
25\(\cdot\left(\dfrac{-1}{5}\right)^3\) +\(\dfrac{1}{5}-2\cdot\left(\dfrac{-1}{2}\right)^{2^{ }}\)- \(\dfrac{1}{2}\)
tính B\(=\left(1-\dfrac{1}{1+2}\right)\cdot\left(1-\dfrac{1}{1+2+3}\right).....\left(1-\dfrac{1}{1+2+...+2018}\right)\)
A=1+\(\frac{1}{2}\cdot\left(1+2\right)+\frac{1}{3}\cdot\left(1+2+3\right)+......+\frac{1}{16}\cdot\left(1+2+3+...+16\right)\)
\(\cdot\)là nhân
Tính hợp lý:
a, \(2008\cdot\left(\dfrac{1}{2007}-\dfrac{2009}{1004}\right)-2009\cdot\left(\dfrac{1}{2007}-2\right)\)
b,\(\dfrac{5^5\cdot20^3-5^4\cdot20^3+5^7\cdot4^5}{\left(20+5\right)^3\cdot4^5}\)