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câu 1:sách trắng
câu 2: con kiến
câu 3: khi rửa tay
câu 4:trong quả dừa
câu 5:bảng đen
câu 6 ; con của nó là con bê
câu 7; bí mật
câu 8: hai con
câu 9: thời gian
câu 10: tên
\(\frac{2^{19}.27^3+15.4^9.9^4}{6^9.2^{10}+12^{10}}\)
\(=\frac{2^{19}.3^9+3.5.2^{18}.3^8}{2^{19}.3^9+3^{10}.2^{20}}\)
\(=\frac{2^{19}.3^9.\left(2+5\right)}{2^{19}.3^9.\left(1+3.2\right)}\)
\(=\frac{7}{7}\)
\(=1\)
\(=\dfrac{2^{19}\cdot3^9+3\cdot5\cdot2^{18}\cdot3^8}{3^9\cdot2^9\cdot2^{10}\cdot2^{20}\cdot3^{10}}=\dfrac{2^{18}\cdot3^9\cdot\left(2+5\right)}{3^{19}\cdot2^{39}}\)
\(=\dfrac{7}{3^{10}\cdot2^{21}}\)
\(\frac{2^{19}.27^3+15.4^9.9^4}{6^9.2^{10}+12^{10}}\)
\(=\frac{2^{19}.\left(3^3\right)^3+15.\left(2^2\right)^9.\left(3^2\right)^4}{\left(2.3\right)^9.2^{10}+\left(2^2.3\right)^{10}}\)
\(=\frac{2^{19}.3^9+15.2^{18}.3^8}{2^9.3^9.2^{10}+2^{20}.3^{10}}\)
\(=\frac{2^{19}.3^9+15.2^{18}.3^8}{2^{19}.3^9+2^{20}.3^{10}}\)
\(=\frac{2^{18}.3^8\left(2.3+15\right)}{2^{19}.3^9\left(1+2.3\right)}\)
\(=\frac{6+15}{2.3\left(1+6\right)}\)
\(=\frac{21}{6.7}\)
\(=\frac{21}{42}\)
\(=\frac{1}{2}\)
\(\frac{2^{19}.27^3+15.4^9.9^4}{6^9.2^{10}+12^{10}}=\frac{2^{19}.\left(3^3\right)^3+3.5.\left(2^2\right)^9.\left(3^2\right)^9}{2^9.3^9.2^{10}+\left(3.2^2\right)^{10}}\)
\(=\frac{2^{19}.3^9+5.2^{18}.3^{19}}{2^{19}.3^9+3^{10}.2^{20}}=\frac{2^{18}.3^9\left(2+5.3\right)}{2^{18}.3^9\left(2+3.2^2\right)}=\frac{17}{14}\)
\(\dfrac{6^9.2^{10}+12^{10}}{2^{19}.27^3+15.4^9.9^4}\)
\(=\dfrac{\left(2.3\right)^9.2^{10}+\left(2^2.3\right)^{10}}{2^{19}.\left(3^3\right)^3+3.5.\left(2^2\right)^9.\left(3^2\right)^4}\)
\(=\dfrac{2^{19}.3^9+2^{20}.3^{10}}{2^{19}.3^9+5.2^{18}.3^9}\)
\(=\dfrac{2^{19}.3^9\left(1+2.3\right)}{2^{19}.3^9\left(1+5.2\right)}\)
\(=\dfrac{1+6}{1+10}=\dfrac{7}{11}\)
\(\dfrac{6^9.2^{10}+12^{10}}{2^{19}.27^3+15.4^9.9^4}\\ =\dfrac{2^9.3^9.2^{10}+\left(2^2.3\right)^{10}}{2^{19}.\left(3^3\right)^3+3.5.\left(2^2\right)^9\left(3^2\right)^4}\\ =\dfrac{2^{19}.3^9+2^{20}.3^{10}}{2^{19}.3^9+5.2^{18}.3^9}\\ =\dfrac{2^{18}.3^9.\left(2+2^2.3\right)}{2^{18}.3^9.\left(2+5\right)}\\ =\dfrac{14}{7}\\ =2\)