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\(\frac{2^{20}.9^3+15.4^9.81^2}{6^8.2^{11}+12^{10}}\)
\(=\frac{2^{20}.3^6+5.2^{18}.3^9}{2^{19}.3^8+2^{20}.3^{10}}\)
\(=\frac{2^{18}.3^6.\left(2^2+5.3^3\right)}{2^{19}.3^8.\left(1+2.3^2\right)}=\frac{139}{2.3^2.19}=\frac{139}{342}\)
CÔNG CHÚA ORI bạn có thể ghi bước trung gian đoạn cuối giúp mk đc ko??? Mk ko hỉu cho lắm
\(a,\frac{3^{17}\cdot81^{11}}{27^{10}\cdot9^{15}}=\frac{3^{17}\cdot3^{44}}{3^{30}\cdot3^{30}}=\frac{3^{61}}{3^{60}}=3\)
\(b,\frac{4^{20}-2^{20}+6^{20}}{6^{20}-3^{20}+9^{20}}=\frac{2^{20}\cdot2^{20}-2^{20}\cdot1+2^{20}\cdot3^{20}}{2^{20}\cdot3^{20}-3^{20}\cdot1+3^{20}\cdot3^{20}}\)\(=\frac{2^{20}\left(2^{20}-1+3^{20}\right)}{3^{20}\left(2^{20}-1+3^{20}\right)}=\frac{2^{30}}{3^{20}}\)
\(c,\left(-1\right)^{2n}\cdot\left(-1\right)^{3n}\cdot\left(-1\right)^{n+1}=\left(-1\right)^{2n+3n+n+1}=\left(-1\right)^{6n+1}\)
\(d,\frac{9^{11}-9^{16}-9^9}{639}=\frac{9^9\left(9^2-9^7-1\right)}{9\cdot71}=\frac{9^8\left(9^2-9^7-1\right)}{71}\)
\(x+20\%x=-4,8\)
\(\Leftrightarrow x+\frac{1}{5}x=-4,8\)
\(\Leftrightarrow\frac{6}{5}x=-4,8\)
\(\Leftrightarrow x=-4,8:\frac{6}{5}\)
\(\Leftrightarrow x=-4\)
\(x-15\%x=-2\frac{11}{20}\)
\(\Leftrightarrow x-\frac{3}{20}x=\frac{-51}{20}\)
\(\Leftrightarrow\frac{17}{20}x=\frac{-51}{20}\)
\(\Leftrightarrow x=\frac{-51}{20}:\frac{17}{20}\)
\(\Leftrightarrow x=-3\)