Bài 1: Rút gọn

\(A=\dfrac{-56\cdot49+\left(-49\right)\cdot44}{73\cdot14+\left(-14\right)\cdot\left(-27\right)}\)

\(=\dfrac{49\cdot\left(-56-44\right)}{14\cdot\left(73+27\right)}\)

\(=\dfrac{-49\cdot100}{14\cdot100}=\dfrac{-7}{2}\)

\(\frac{9^{14}.25^5.8^7}{18^{12}.625^3.24^3}\)

\(=\frac{\left(3^2\right)^{14}.\left(5^2\right)^5.\left(2^3\right)^7}{\left(2.3^2\right)^{12}.\left(5^4\right)^3.\left(2^3.3\right)^3}\)

\(=\frac{3^{28}.5^{10}.2^{21}}{2^{12}.3^{24}.5^{12}.2^9.3}\)

\(=\frac{3^{28}.5^{10}.2^{21}}{2^{21}.3^{25}.5^{12}}\)

\(=\frac{3^3.1.1}{1.1.5^2}\)

\(=\frac{27}{25}\)

\(\frac{15.8+15.4}{12.3}=\frac{15.\left(8+4\right)}{12.3}=\frac{15.12}{12.3}=\frac{5}{1}=5\)

\(\frac{15.8+15.4}{12.3}=\frac{15.\left(8+4\right)}{12.3}=\frac{5.12}{4.3}=\frac{5}{1}=5\)

\(\frac{15.8+15.4}{12.3}=\frac{31.2}{12.3}=\frac{15.6}{6.15}=\frac{7.8}{3.075}=\frac{3.9}{1.5375}\)

\(\frac{9^{14}\cdot25^5\cdot8^7}{18^{12}\cdot625^3\cdot24^3}=\frac{\left(3^2\right)^{14}\cdot\left(5^2\right)^5\cdot\left(2^3\right)^7}{\left(3^2\cdot2\right)^{12}\cdot\left(5^4\right)^3\cdot\left(3\cdot2^3\right)^3}\)

\(=\frac{3^{28}\cdot5^{10}\cdot2^{21}}{3^{24}\cdot2^{12}\cdot5^{12}\cdot3^3\cdot2^9}=\frac{3^{28}\cdot5^{10}\cdot2^{21}}{3^{25}\cdot5^{12}\cdot2^{21}}=\frac{3^3}{5^2}=\frac{27}{25}\)

1212/3030=1212:303/3030:303=4/10

32032/48048=32032:2002/48048:2002=16/21

456456/234234=456456:6006/234234:6006=76/39

16161616/38383838=16161616:2020202/38383838:2020202=8/19

\(\frac{1212}{3030}\)=\(\frac{2}{5}\)

\(\frac{32032}{48048}\)=\(\frac{2}{3}\)

\(\frac{45456}{234234}\)=\(\frac{7576}{39039}\)

\(\frac{16161616}{38383838}\)=\(\frac{8}{19}\)

\(\frac{1212}{3030}=\frac{2.6.101}{5.6.101}=\frac{2}{5}\)

\(\frac{32032}{48048}=\frac{2.16.1001}{3.16.1001}=\frac{2}{3}\)

\(\frac{456456}{234234}=\frac{76.61001}{39.6.1001}=\frac{76}{39}\)(Bạn ghi thiếu số 6 ở tử số nha)

\(\frac{16161616}{38383838}=\frac{2.8.1010101}{19.2.1010101}=\frac{8}{19}\)

(Dấu chấm là nhân nha)

\(15xy^2+6x^2y^2-12x^2y\Leftrightarrow3xy\left(5y+2xy-4x\right)\)

Ai k mk mk k lại

Có j để rút gọn?