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a) 31 . 65 + 31 . 35 - 500
=31(65+35)-500
=31..100-500
=3100-500
=2600

\(a,\frac{5}{16}:0,125-\left(2\frac{1}{4}-0,6\right)\cdot\frac{10}{11}\)
\(=\frac{5}{16}:\frac{1}{8}-\left(\frac{9}{4}-\frac{3}{5}\right)\cdot\frac{10}{11}\)
\(=\frac{5}{2}-\frac{33}{20}\cdot\frac{10}{11}\)
\(=\frac{5}{2}-\frac{3}{2}\)
\(=1\)
\(\frac{5}{16}:0,125-\left(2\frac{1}{4}-0,6\right).\frac{10}{11}\)
\(\Rightarrow\frac{5}{16}:\frac{125}{1000}-\left(\frac{9}{4}-\frac{6}{10}\right).\frac{10}{11}\)
\(\Rightarrow\frac{5}{16}:\frac{1}{8}-\left(\frac{9}{4}-\frac{3}{5}\right).\frac{10}{11}\)
\(\Rightarrow\frac{5}{16}.\frac{8}{1}-\left(\frac{45}{20}-\frac{12}{20}\right).\frac{10}{11}\)
\(\Rightarrow\frac{5}{2}-\frac{33}{20}.\frac{10}{11}\)
\(\Rightarrow\frac{5}{2}-\frac{3.1}{2.1}\)
\(\Rightarrow\frac{5}{2}-\frac{3}{2}=\frac{2}{2}=1\)

\(A=\left(\frac{3}{8}+\frac{-3}{4}+\frac{7}{12}\right):\frac{5}{6}+\frac{1}{2}\)
\(A=\left(\frac{3}{8}+\frac{-6}{8}+\frac{7}{12}\right):\frac{5}{6}+\frac{1}{2}\)
\(A=\left(\frac{-3}{8}+\frac{7}{12}\right):\frac{5}{6}+\frac{1}{2}\)
\(A=\left(\frac{-36}{24}+\frac{56}{24}\right):\frac{5}{6}+\frac{1}{2}\)
\(A=\frac{5}{6}:\frac{5}{6}+\frac{1}{2}\)
\(A=\frac{5}{6}\times\frac{6}{5}+\frac{1}{2}\)
\(A=1+\frac{1}{2}\)
\(A=\frac{1}{1}+\frac{1}{2}=\frac{2}{2}+\frac{1}{2}\)
\(A=\frac{3}{2}\)

a.\(12^7:6^7=\left(12:6\right)^7=2^7\)
b. \(27^5:81^3=\left(3^3\right)^5:\left(3^4\right)^3=3^{15}:3^{12}=3^3\)
c. \(18^3:9^3=\left(18:9\right)^3=2^3\)
d. \(125^3:25^4=\left(25^3\right)^3:25^4=25^9:25^4=25^5\)
12^7:6^7=(12:6)^7=2^7
27^5:81^3=(3^3)^5:(3^4)^3=3^15:3^12=3^3
18^3:9^3=(18:9)^3=2^3
125^3:25^4=(5^3)^3:(5^2)^4=5^9:5^8=5

a) \(\left(4\frac{1}{9}+3\frac{1}{4}\right)\cdot2\frac{1}{4}+2\frac{3}{4}\)
\(=7\frac{13}{36}\cdot2\frac{1}{4}+2\frac{3}{4}\)
\(=16\frac{9}{16}+2\frac{3}{4}\)
\(=19\frac{5}{16}\)
b)\(1+\left(\frac{9}{10}-\frac{4}{5}\right)\div3\frac{1}{6}\)
\(=1+\frac{1}{10}\div\frac{19}{6}\)
\(=1+\frac{3}{95}=1\frac{3}{95}\)
MK LÀM CHO BẠN 2 Ý THÔI NHA.
K MK NHA. CHÚC BN HỌC TỐT. ^_^
c) \(\left(-7+|13|\right)-\left(13-|-7|-25\right)-\left(25-|-10|-9\right)\)
\(=-7+13-13+7+25-25+10+9\)
\(=\left(-7+7\right)+\left(13-13\right)+\left(25-25\right)+10+9\)
\(=0+0+0+10+9=10+9=19\)
MK LÀM XONG RỒI. K MK NHA. KB

\(b,\frac{-7}{25}.\frac{11}{13}+\frac{-7}{25}.\frac{2}{13}-\frac{18}{25}\)
\(=\frac{-7}{25}.\left(\frac{11}{13}+\frac{2}{13}\right)-\frac{18}{25}\)
\(=\frac{-7}{25}.1-\frac{18}{25}\)
\(=\frac{-7}{25}-\frac{18}{25}\)
\(=-1\)
a) \(\frac{-1}{4}+\frac{3}{7}+\frac{5}{4}+\frac{-10}{7}\)
\(=\left(\frac{-1}{4}+\frac{5}{4}\right)+\left(\frac{3}{7}+\frac{-10}{7}\right)\)
\(=\frac{4}{4}+\frac{-7}{7}\)
\(=1+-1\)
\(=0\)