\(\left(0,4\right)^2+5\frac{1}{2}:\left(1,9-4,1\right)+\)\(\frac{2^3}{\left(-2\right)^2}\)
\(=0,16+\frac{11}{2}:\left(-2,2\right)+\frac{8}{4}\)
\(=\frac{4}{25}+\frac{11}{2}:-\frac{11}{5}+2\)
\(=\frac{4}{25}+\frac{11}{2}.\frac{-5}{11}+2\)
\(=\frac{4}{25}+\frac{-5}{2}+2\)
\(=\frac{8}{50}+\frac{-125}{50}+\frac{100}{50}\)
\(=-\frac{17}{50}\)
\(A=\left[\left(2,1^2-4,01\right)^2.2,5+7,3\right]\div\left[1,9-0,4^2-\left(\frac{4}{5}\right)^2\right]\)
I,Rút gọn biểu thức chứa dấu GTTĐ
1.A= |x-3,5|+|4,1-x|
2.B= |-x+3,5|+|x-4,1|
II,Rút gon BT khi \(\frac{-3}{5}< x< \frac{1}{7}\)
\(1,A=\left|x-\frac{1}{7}\right|-\left|x+\frac{3}{5}\right|+\frac{4}{5}\)
\(2,B=\left|-x+\frac{1}{7}\right|+\left|-x-\frac{3}{5}\right|-\frac{2}{6}\)
a)\(\left(\frac{1}{13}\right)^{13}:\left(\frac{1}{3}\right)^{x-2}=\frac{1}{81}\)
b)\(\left(0,4\right)^{x-1}:\left(\frac{2}{5}\right)^2=\frac{8}{125}\)
Tính:
a) \(3^{-2}.\left(\frac{2}{3}\right)^{-4}.\left(-1\frac{1}{2}\right)^{-3}\)
b) \(0,02^{-3}.10^{-4}.\left(\frac{4}{5}\right)^{-2}.\left(0,4\right)^4\)
c) \(\frac{2^{-2}-\left(\frac{3}{4}\right)^{-4}.\left(-\frac{1}{2}\right)^2}{10^{-1}+\left(-\frac{1}{8}\right)^0}\)
Tính hợp lý nếu có thể:
a) A = 0,4(3)+0,6(2).\(2\frac{1}{2}-\frac{\frac{1}{2}+\frac{1}{3}}{0,5\left(8\right)}:50\frac{50}{53}\)
b) B = [0,(5).0,(2)]:\(\left(3\frac{1}{3}:\frac{33}{25}\right)-\left(\frac{2}{5}.1\frac{1}{3}\right):\frac{4}{3}\)
tính nhanh :
\(A=\frac{15^3+5\times15^2-5^3}{18^3+6\times18^2-6^3}\)
\(B=\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+....+\frac{1}{3^{2015}}\)
\(C=1+\frac{1}{2}\left(1+2\right)+\frac{1}{3}\left(1+2+3\right)+...+\frac{1}{16}\left(1+2+...+16\right)\) \(D=\frac{0,4-\frac{2}{9}+\frac{2}{11}}{1,4-\frac{7}{9}+\frac{7}{11}}-\frac{\frac{1}{3}-0,25+\frac{1}{5}}{1\frac{1}{6}-0,875+0,7}\)
\(F=\left(100-1^2\right)\left(100-2^2\right)....\left(100-25^2\right)\)
tính: \(P=0,4\left(3\right)+0,6\left(2\right).2\frac{1}{2}.\frac{\frac{1}{2}+\frac{1}{3}}{0,5\left(8\right)}:\frac{50}{53}\)
\(\frac{0.5=0,\left(3\right)-0,1\left(6\right)}{2,5+1,6-0,8\left(3\right)}\)
\(-1,53:\left(5\frac{5}{28}-1\frac{8}{9}.1,25+1\frac{16}{63}\right)\)
\(\left(3\frac{1}{3}.1,9+9,5:4\frac{1}{3}\right).\left(\frac{62}{75}-\frac{4}{25}\right)\)
\(\frac{\left(81,624:4,8-4,505\right)^2+125.0,75}{\left\{\left[\left(0,44\right)^2:0,88+3,53\right]^2-\left(2,75\right)^2\right\}:0,52}\)
\(\frac{6^6+6^3.3^3+3^6}{_{-73}}\)
\(\frac{8^{20}+4^{20}}{4^{25}+64^5}\)
\(\frac{45^{10}.5^{20}}{75^{15}}\)
\(16\frac{3}{5}.-\frac{1}{3}-13\frac{3}{5}.\frac{-1}{3}+\frac{3}{4}\)
\(\left(1\frac{1}{2}-0,5\right):9-30^2+\frac{1}{3}-\frac{1}{6}\)
Làm nhanh giúp mk nha!!!!!!!!!!!!!!
tính
a, \(\frac{16^3.3^{10}+120.6^9}{4^6.3^{12}+6^{11}}\)
b , \(\left(\frac{0,4-\frac{8}{9}+\frac{2}{11}}{1,4-\frac{7}{9}+\frac{7}{11}}-\frac{\frac{1}{3}-0,25+\frac{1}{5}}{1\frac{1}{6}-0,875+0,7}\right):\frac{2012}{2013}\)
c, A
= \(1+\frac{1}{2}.\left(1+2\right)+\frac{1}{3}.\left(1+2+3\right)+\frac{1}{4}.\left(1+2+3+...+\frac{1}{20}.\left(1+2+3+....+20\right)\right).155\)
