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\(A=\frac{2^{23}-2^{21}\cdot2^2\cdot5}{2^{24}}\)
\(A=\frac{2^{23}-2^{23}\cdot5}{2^{24}}\)
\(A=\frac{2^{23}\left(1-5\right)}{2^{24}}\)
\(A=\frac{-\left(2^{23}\cdot2^2\right)}{2^{24}}=-\frac{2^{25}}{2^{24}}=-2\)
Tính giá trị biểu thức sau bằng cách hợp lí:
A= 1/2 + (-1/7) - (-1/13) +-1/13 - (-2/5) + -11/21 +1/10
\(A=\frac{1}{2}+\frac{-1}{7}-\frac{-1}{13}+\frac{-1}{13}-\frac{-2}{5}+\frac{-11}{21}+\frac{1}{10}\)
\(A=\frac{5}{10}-\frac{3}{21}+\frac{1}{13}-\frac{1}{13}+\frac{4}{10}-\frac{11}{21}+\frac{1}{10}\)
\(A=\left(\frac{5+4+1}{10}\right)+\left(\frac{-3}{21}-\frac{11}{21}\right)+\left(\frac{1}{13}-\frac{1}{13}\right)\)
\(A=1+\frac{-2}{3}=\frac{3-2}{3}=\frac{1}{3}\)
\(A=\frac{2^{10}.13+2^{10}.65}{2^8.104}=\frac{2^{10}.\left(13+65\right)}{2^8.104}=\frac{2^{10}.78}{2^8.104}=3\)
\(A=\frac{2^{10}.13+2^{10}.65}{2^8.104}=\frac{2^{10}\left(13+65\right)}{2^8.104}=\frac{2^{10}.78}{2^8.104}=\frac{2^2.78}{104}=\frac{2^2.2.39}{2^3.13}=\frac{2^3.39}{2^3.13}=3\)
\(A=\frac{2}{15}+\frac{2}{35}+\frac{2}{63}+...+\frac{2}{399}\)
\(=\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+....+\frac{2}{19.21}\)
\(=\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+....+\frac{1}{19}-\frac{1}{21}\)
\(=\frac{1}{3}-\frac{1}{21}\)
\(=\frac{6}{21}\)
\(\frac{2^{10}.13+2^{10}.65}{2^8.104}\)
\(=\frac{2^{10}.\left(13+65\right)}{2^8.104}\)
\(=\frac{2^{10}.78}{2^8.104}\)
\(=\frac{2^8.2^2.78}{2^8.104}\)
\(=\frac{2^8.4.78}{2^8.104}\)
\(=\frac{2^8.312}{2^8.104}\)
\(=\frac{2^8.3.104}{2^8.104}=3\)
\(a,\frac{15}{34}+\frac{7}{21}+\frac{19}{34}-\frac{20}{15}+\frac{3}{7}\)
\(=>\left(\frac{15}{34}+\frac{19}{34}\right)+\left(\frac{7}{21}+\frac{3}{7}\right)-\frac{20}{15}\)
\(=>1+\frac{16}{21}-\frac{20}{15}\)
\(=>\frac{37}{21}-\frac{20}{15}\)
\(=>\frac{3}{7}\)
\(b,12-8\cdot\left(\frac{3}{2}\right)^3\)
\(=>12-8\cdot\frac{27}{8}\)
\(=>12-27\)
\(=>-15\)
\(c,\left(\frac{1}{9}\right)^{2005}\cdot9^{2005}-96^2:24^2\)
\(=>\left(\frac{1^{2005}^{ }}{9^{2005}}\cdot9^{2005}\right)-\left(96^2:24^2\right)\)
\(=>\left(1^{2005}\right)-16\)
\(=>1-16\)
\(=>-15\)
a, ( 26 - 6) . (-4) + 31. (-7-13)
=20 . ( -4) + 31.(-20)
=(-80) + (-620)
= (-700)
b,4.(-5)^2 - 6.(26-21)
=4.25 - 6.5
= 100- 30
=70
c,56.(-24) + 24.(-44)
=(-1334)+(-1056)
= -2390
=2^23-2^21.20/2^24
=2^21(4-20)/2^24
=-16/8=-2