Violympic toán 7
Các câu hỏi tương tự
\(\dfrac{(13\dfrac{1}{4}-2\dfrac{5}{27}-10\dfrac{5}{6}).230.\dfrac{1}{25}+46\dfrac{3}{4}}{(1\dfrac{3}{10}+\dfrac{10}{3}):(12\dfrac{1}{3}-14\dfrac{2}{7})}\)
1) \(25^{10}.\left(\dfrac{1}{5}\right)^{20}+\left(\dfrac{-3}{4}\right)^8.\left(\dfrac{-4}{3}\right)^8-2018^0\)
2) \(\left(\dfrac{5}{2}-\dfrac{4}{3}\right).\dfrac{6}{7}+\left(\dfrac{-3}{2}\right)^5:\left(\dfrac{-3}{2}\right)^3\)
3) \(\dfrac{4^5.9^4-2.6^9}{3^8.2^{10}+6^8.20}\)
tính:
O = \(\dfrac{\left(13\dfrac{1}{4}-2\dfrac{5}{27}-10\dfrac{5}{6}\right).230\dfrac{1}{25}+46\dfrac{3}{4}}{\left(1\dfrac{3}{10}+\dfrac{10}{3}\right):\left(12\dfrac{1}{3}-14\dfrac{2}{7}\right)}\)
Rút gọn:
A=\(\dfrac{4^{10}+8^4}{4^5+8^6}\)
B=\(\dfrac{1+3^4+3^8+3^{12}}{1+3^2+3^4+3^6+3^8+3^{10}+3^{12}+3^{14}}\)
tính" \(\dfrac{\left(13\dfrac{1}{4}-2\dfrac{5}{27}-10\dfrac{5}{6}\right).203\dfrac{1}{25}+46\dfrac{3}{4}}{\left(1\dfrac{3}{7}+\dfrac{10}{3}\right):\left(12\dfrac{1}{3}-14\dfrac{2}{7}\right)}\)
\(\dfrac{10^3+2.5^3+5^3}{55}-\dfrac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)
1/ So sánh: dfrac{4^{1008}}{5^{2015}} và dfrac{16^{504}.3^{2016}}{5^{2016}.4^{1008}}
2/ Rút gọn:
a/ dfrac{2^{12}.27^3+4^5.9^6}{8^3.3^{10}+6^{10}}
b/ dfrac{1+3^4+3^8+3^{12}}{1+3^2+3^4+3^6+3^8+3^{10}+3^{12}}
c/ dfrac{4^{10}+8^4}{4^5+8^6}
3/ Biết: 2^2+3^2+4^2+...+13^2816
Tính: B1^2+3^2+6^2+9^2+...+39^2
4/ Chứng tỏ:
a/ 3^{15}-9^6⋮13
b/ 8^7-2^{18}⋮14
5/ Tìm GTLN của biểu thức:
Ax^2+3left|y-2right|+1
6/ Tìm GTNN của biểu thức:
Bleft(-5right)-left(2x-1right)^2
Đọc tiếp
1/ So sánh: \(\dfrac{4^{1008}}{5^{2015}}\) và \(\dfrac{16^{504}.3^{2016}}{5^{2016}.4^{1008}}\)
2/ Rút gọn:
a/ \(\dfrac{2^{12}.27^3+4^5.9^6}{8^3.3^{10}+6^{10}}\)
b/ \(\dfrac{1+3^4+3^8+3^{12}}{1+3^2+3^4+3^6+3^8+3^{10}+3^{12}}\)
c/ \(\dfrac{4^{10}+8^4}{4^5+8^6}\)
3/ Biết: \(2^2+3^2+4^2+...+13^2=816\)
Tính: \(B=1^2+3^2+6^2+9^2+...+39^2\)
4/ Chứng tỏ:
a/ \(3^{15}-9^6⋮13\)
b/ \(8^7-2^{18}⋮14\)
5/ Tìm GTLN của biểu thức:
\(A=x^2+3\left|y-2\right|+1\)
6/ Tìm GTNN của biểu thức:
\(B=\left(-5\right)-\left(2x-1\right)^2\)
1 tìm x
a,\(\dfrac{1}{4}x-\left|-\dfrac{3}{10}\right|\)
\(\left(\dfrac{2}{5}-\dfrac{7}{10}x\right):1\dfrac{2}{3}=\dfrac{-3}{4}\)
\(\dfrac{7}{16}:\left(\dfrac{x}{4}+\dfrac{9}{2}\right)-1\dfrac{5}{6}=0\)
Thực hiên phép tính
\(\dfrac{\left(13\dfrac{1}{4}-2\dfrac{5}{27}-10\dfrac{5}{6}\right).230\dfrac{1}{25}+46\dfrac{3}{4}}{\left(1\dfrac{3}{7}+\dfrac{10}{3}\right):\left(12\dfrac{1}{3}\right)-14\dfrac{2}{7}}\)