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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) \(\frac{2^{15}.9^4}{9^4.9^2.\left(2^3\right)^3}=\frac{2^9.9^4}{2^9.9^4.9^2}=\frac{1}{81}\)
\(A=\frac{4^5.9^4-2.6^9}{2^{10}.3^8+6^8.20}\)
\(=\frac{2^{10}.3^8-2.\left(2.3\right)^9}{2^{10}.3^8+\left(2.3\right)^8.\left(2^2.5\right)}\)
\(=\frac{2^{10}.3^8-2^{10}.3^9}{2^{10}.3^8+2^{10}.3^8.5}\)
\(=\frac{2^{10}.3^8\left(1-3\right)}{2^{10}.3^8\left(1+5\right)}\)
\(=\frac{-2}{6}\)
\(=\frac{-1}{3}\)
Vậy \(A=\frac{-1}{3}\)
\(A=\frac{4^5.9^4-2.6^9}{2^{10}.3^8+6^8.20}=\frac{2^{10}.3^8-2.2^9.3^9}{2^{10}.3^8+2^8.3^8.2^2.5}=\frac{2^{10}.3^8-2^{10}.3^9}{2^{10}.3^8+2^{10}.3^8.5}=\frac{2^{10}.3^8\left(1-3\right)}{2^{10}.3^8\left(1+5\right)}=\frac{-2}{6}=\frac{-1}{3}\)
\(\dfrac{4^5.9^4-2.6^9}{2^{10}.3^8+6^8.20}\)
\(=\dfrac{\left(2^2\right)^5.\left(3^2\right)^4-2.\left(2.3\right)^9}{2^{10}.3^8+\left(2.3\right)^8.2^2.5}\)
\(=\dfrac{2^{10}.3^8-2^{10}.3^9}{2^{10}.3^8+2^{10}.3^8.5}\)
\(=\dfrac{2^{10}.3^8\left(1-3\right)}{2^{10}.3^8\left(1+5\right)}\)
\(=\dfrac{-1}{3}\)
6^2.(6+3)+3^3/-13=36.3^2+3^3/-13=3^2(36+3)/-13=9.39/-13=-27
2^10.3^8-2.3^9.2^9 / 2^10.3^8+3^8.2^8.2^2.5
=2^10.3^8(1-3) / 2^10.3^8(1+5)
=-2/6=-1/3