Tính nhanh(nếu có thể)
(-5/6)2x(6/5)8
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a: =16*20=320
b: =2/3+1/3*1/6:2/3
=2/3+1/18*3/2
=2/3+3/36
=2/3+1/12
=9/12=3/4
g) 51 . ( -35 ) + ( -51 ) . ( -65 )
= ( -51 ) . 35 + ( -51 ) . ( -65 )
= ( -51 ) . ( -65 + 35 )
= ( -51 ) . ( -30 )
= 1530
k) ( 6 . 8 - 10 : 5 ) + 3 . ( -7 )
= ( 48 - 2 ) + ( -21 )
= 46 + ( -21 )
= 25
s) 1 - 2 - 3 + 4 + 5 - 6 - 7 + 8 + 9 - ... - 2007 + 2008 + 2009
= ( 1 - 2 - 3 + 4 ) + ( 5 - 6 - 7 + 8 ) + ... + ( 2005 - 2006 - 2007 + 2008 ) + 2009
= 0 + 0 + ... + 0 + 2009
= 2009
b: \(B=\dfrac{5}{2}-\dfrac{7}{2}+\dfrac{3}{8}+\dfrac{6}{8}+\dfrac{-6}{11}-\dfrac{5}{11}=-2-1+\dfrac{9}{8}=\dfrac{9}{8}-3=-\dfrac{15}{8}\)
c: \(C=\left(\dfrac{4}{3}+\dfrac{7}{3}+\dfrac{1}{3}\right)+\left(\dfrac{2}{5}+\dfrac{3}{5}\right)=4+1=5\)
d: \(D=\dfrac{4}{19}\left(\dfrac{-5}{6}-\dfrac{7}{12}\right)-\dfrac{40}{57}\)
\(=\dfrac{4}{19}\cdot\dfrac{-17}{12}-\dfrac{40}{57}=-1\)
e: \(E=\dfrac{1}{3}\left(\dfrac{4}{5}-\dfrac{9}{5}\right)+\dfrac{2}{3}=\dfrac{2}{3}-\dfrac{1}{3}=\dfrac{1}{3}\)
Mình làm nhầm chỗ 29.39.23.3.5 phải bằng 212.310.5. Thông cảm nha bạn
\(\frac{4^6.9^5-6^9.120}{8^4.3^{12}-6^{11}}\)
\(=\frac{2^{12}.3^{10}+2^{12}.3^{10}.5}{2^{12}.3^{12}-2^{11}.3^{11}}\)
\(=\frac{2^{12}.3^{10}\left(1+5\right)}{2^{11}.3^{11}\left(2.3-1\right)}\)
\(=\frac{2.6}{3.5}\)
\(=\frac{4}{5}\)