tính hợp lí:
a/ \(\frac{-13}{6}:\frac{25}{7}+\frac{7}{25}.\left(\frac{-17}{6}\right)\)
b/ \(\frac{-4^5.3^5}{2^4.6^4}+\left(2015\right)^0\)
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\(a,A=\left[\frac{4}{11}.\left(\frac{1}{25}\right)^0+\frac{7}{22}.2\right]^{2010}-\left(\frac{1}{2^2}:\frac{8^2}{4^4}\right)^{2009}\)
\(A=\left(\frac{4}{11}.1+\frac{7}{11}\right)^{2010}-\left(\frac{1}{2^2}.2^2\right)^{2009}\)
\(A=1-1=0\)
\(b,B=\frac{0,8:\left(\frac{4}{5}.1,25\right)}{0,64-\frac{1}{25}}+\frac{\left(1,08-\frac{2}{25}\right):\frac{4}{7}}{\left(6\frac{5}{9}-3\frac{1}{4}\right).2\frac{2}{17}}+\left(1,2.0,5\right):\frac{4}{5}\)
\(B=\frac{0,8:1}{\frac{3}{5}}+\frac{\left(1\right):\frac{4}{7}}{\left(\frac{59}{9}-\frac{13}{4}\right).36}\)
\(B=0,8.\frac{5}{3}+\frac{\frac{7}{4}}{\frac{119}{36}.36}\)
\(B=\frac{4}{3}+\frac{7}{4}.\frac{1}{119}\)
\(B=\frac{4}{3}+\frac{1}{68}=\frac{275}{204}\)
\(B=4\cdot\left(-\frac{1}{2}\right)^3:\left(\frac{4}{5}\right)^0\cdot\frac{1}{2}-\frac{\frac{3}{5}-\frac{3}{9}+\frac{3}{13}}{\frac{7}{5}-\frac{7}{9}+\frac{7}{13}}\)
\(=4\cdot\frac{-1}{8}:1\cdot\frac{1}{2}-\frac{3\left(\frac{1}{5}-\frac{1}{9}+\frac{1}{13}\right)}{7\left(\frac{1}{5}-\frac{1}{9}+\frac{1}{13}\right)}\)
\(=-\frac{1}{4}-\frac{3}{7}=-\frac{19}{28}\)
a. \(-\frac{13}{6}:\frac{25}{7}+\frac{7}{25}.\left(-\frac{17}{6}\right)\)
\(=-\frac{13}{6}.\frac{7}{25}+\frac{7}{25}.\left(-\frac{17}{6}\right)\)
\(=\frac{7}{25}.\left[\left(-\frac{13}{6}\right)+\left(-\frac{17}{6}\right)\right]\)
\(=\frac{7}{25}.\left(-\frac{30}{6}\right)\)
\(=-\frac{7}{5}\)
b. \(\frac{-4^5.3^5}{2^4.6^4}+2015^0=\frac{\left(-4.3\right)^5}{\left(2.6\right)^4}+1=\frac{-12^5}{12^4}+1=-12+1=-11\)
a) \(\frac{-13.7}{6.25}\)+ \(\frac{-7.17}{25.6}\)=\(\frac{-210}{210}\)=-1
b) \(\frac{-4^4.4.3^4.3}{2^4.3^4.2^4}\)=\(\frac{-2^4.2^4.4.3^4.3}{2^4.3^4.2^4}\)=-12