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ta có \(\left(1-\frac{1}{2010}.\right).\left(1-\frac{2}{2010}\right)....\left(1-\frac{2010}{2010}\right).\left(1-\frac{2011}{2010}\right)\)\(\left(1-\frac{1}{2010}\right).\left(1-\frac{2}{2010}\right).......0.\left(1-\frac{2011}{2010}\right)=0\)
\(4\frac{2}{7}.3=\left(4+\frac{2}{7}\right).3=4.3+\frac{2}{7}.3=12+\frac{6}{7}=12\frac{6}{7}\)
Cách này nhanh hơn nhiều đúng không
\(\frac{-1}{3}:\frac{-5}{6}=\frac{-1}{3}\times\frac{-6}{5}=\frac{2}{5}\)
@muối
\(A=\frac{3^{10}.11+3^{10}.5}{3^9.2^4}=\frac{3^{10}.\left(11+5\right)}{3^9.16}=\frac{3^{10}.16}{3^9.16}=3\)
Ta có:\(\frac{16}{25}\)+ (x+\(\frac{1}{3}\))\(^2\)=1
(x+\(\frac{1}{3}\))\(^2\)= \(\frac{9}{25}\)
x+\(\frac{1}{3}\)= \(\frac{3}{5}\)
x=\(\frac{4}{15}\)
\(\frac{16}{25}+\left(x+\frac{1}{3}\right)^2=1\)
\(\left(x+\frac{1}{3}\right)^2=1-\frac{16}{25}\)
\(\left(x+\frac{1}{3}\right)^2=\frac{9}{25}=0,36\)
\(x+\frac{1}{3}=0,6=\frac{3}{5}\)
\(x=\frac{3}{5}-\frac{1}{6}\)
\(x=\frac{13}{30}\)
#)Giải :
\(\left(\frac{1}{2}\right)^{15}\div\left(\frac{1}{4}\right)^{20}=\left(\frac{1}{2}\right)^{15}\div\left(\frac{1}{2}\right)^{40}=\left(\frac{1}{2}\right)^{-25}\)
\(a,\frac{1}{6}-\frac{2}{3}\)
\(=\frac{1}{6}-\frac{4}{6}=-\frac{3}{6}=-\frac{1}{2}\)