265:5+27.2-12
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\(\frac{27.2^{10}.3^9.32}{6^{12}}\)
\(=\frac{3^3.2^{10}.3^9.2^5}{\left(2.3\right)^{12}}\)
\(=\frac{3^{12}.2^{15}}{2^{12}.3^{12}}=2^3=8\)
\(\dfrac{0.375-0.3+\dfrac{3}{11}+\dfrac{3}{12}}{-0.625+0.5-\dfrac{5}{11}-\dfrac{5}{12}}+\dfrac{1.5+1-0.75}{2.5+\dfrac{5}{3}-1.25}\)
=\(\dfrac{\dfrac{3}{8}-\dfrac{3}{10}+\dfrac{3}{11}+\dfrac{3}{12}}{-\dfrac{5}{8}+\dfrac{5}{10}-\dfrac{5}{11}-\dfrac{5}{12}}+\dfrac{\dfrac{3}{2}+\dfrac{3}{3}-\dfrac{3}{4}}{\dfrac{5}{2}+\dfrac{5}{3}-\dfrac{5}{4}}\)
=\(\dfrac{3.\left(\dfrac{1}{8}-\dfrac{1}{10}+\dfrac{1}{11}+\dfrac{1}{12}\right)}{-5.\left(\dfrac{1}{8}-\dfrac{1}{10}+\dfrac{1}{11}+\dfrac{1}{12}\right)}+\dfrac{3\cdot\left(\dfrac{1}{2}+\dfrac{1}{3}-\dfrac{1}{4}\right)}{5\cdot\left(\dfrac{1}{2}+\dfrac{1}{3}-\dfrac{1}{4}\right)}\)
=\(\dfrac{3}{-5}+\dfrac{3}{5}\)
=\(0\)
(27.26.625):(53.64.32)
=(33.26.54):(53.26.32)
=3.5=15
\(\frac{4^{15}.3^{12}+120.8^3}{2^3.3^9-27.2^4}\)
\(=\frac{2^{30}.3^{12}+2^3.3.5.2^9}{2^3.3^9-3^3.2^4}\)
\(=\frac{2^{30}.3^{12}+2^{12}.3.5}{2^3.3^3\left(3^6-2\right)}\)
\(=\frac{2^{12}.3\left(2^8.3^{11}+5\right)}{2^3.3^3.727}\)
\(=\frac{2^9\left(2^8.3^{11}+5\right)}{3^2.727}\)
đến đây dễ rồi bạn tự làm đi