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\(a,\frac{3^{17}\cdot81^{11}}{27^{10}\cdot9^{15}}=\frac{3^{17}\cdot3^{44}}{3^{30}\cdot3^{30}}=\frac{3^{61}}{3^{60}}=3\)
\(b,\frac{4^{20}-2^{20}+6^{20}}{6^{20}-3^{20}+9^{20}}=\frac{2^{20}\cdot2^{20}-2^{20}\cdot1+2^{20}\cdot3^{20}}{2^{20}\cdot3^{20}-3^{20}\cdot1+3^{20}\cdot3^{20}}\)\(=\frac{2^{20}\left(2^{20}-1+3^{20}\right)}{3^{20}\left(2^{20}-1+3^{20}\right)}=\frac{2^{30}}{3^{20}}\)
\(c,\left(-1\right)^{2n}\cdot\left(-1\right)^{3n}\cdot\left(-1\right)^{n+1}=\left(-1\right)^{2n+3n+n+1}=\left(-1\right)^{6n+1}\)
\(d,\frac{9^{11}-9^{16}-9^9}{639}=\frac{9^9\left(9^2-9^7-1\right)}{9\cdot71}=\frac{9^8\left(9^2-9^7-1\right)}{71}\)
a) \(=\frac{\left(3.15\right)^{10}.5^5.5^{15}}{75^5}=\frac{15^5.5^5.3^{10}.15^5.5^{15}}{75^5}=\frac{\left(15.5\right)^5.\left(15.5\right)^{15}.3^{10}}{75^5}=\frac{75^{20}.3^{10}}{75^5}=75^{15}.3^{10}\)
b) \(\frac{2^{15}.9^4}{9^4.9^2.\left(2^3\right)^3}=\frac{2^9.9^4}{2^9.9^4.9^2}=\frac{1}{81}\)
A,\(8^2.4^5:2^{20}=\left(2^3\right)^2.\left(2^2\right)^5:2^{20}=2^6.2^{10}:2^{20}=\frac{2^{16}}{2^{20}}=\frac{1}{16}\)
nhan đúng nha