(9^14*225^2*8^7)/(18^12*625^3*24^3)
Rút gọn p/s sau :
914.2255 .87 /1812.6253.243
9^14*25^3*8^7/18^12*625^3*24^3
rut gon phan so
914 x 2255 x 87
1812 x 6253 x 243
Rút gọn phân số
990/2616;374/506;3600-75/8400-175;914.2255.87/1812.6253.243
9 mũ 14 . 25 mũ 5 . 8 mũ 7 /18 mũ 12 . 625 mũ 3 . 24 mũ 3
9 mũ 14 x 25 mũ 5 x 8 mũ 7/18 mũ 12 x 625 mũ 3 x 24 mũ 3
\(\frac{9^{14}\cdot25^5\cdot8^7}{18^{12}\cdot625^3\cdot24^3}=\frac{3^{28}\cdot5^{10}\cdot2^{21}}{2^{12}\cdot3^{24}\cdot5^{12}\cdot2^9\cdot3^3}=\frac{3\cdot3^{27}\cdot5^{10}\cdot2^{21}}{2^{21}\cdot3^{27}\cdot5^2\cdot5^{10}}=\frac{3}{5^2}=\frac{3}{25}\)
\(\frac{9^{14}.25^5.8^7}{18^{12}.625^3.24^3}\)
\(=\)\(\frac{3^{28}.5^{10}.2^{21}}{2^{12}.3^{24}.5^{12}.2^9.3^3}\)
\(=\)\(\frac{3.3^{27}.5^{10}.2^{21}}{2^{21}.3^{27}.5^2.5^{10}}\)
\(=\)\(\frac{3}{5^2}\)
\(=\)\(\frac{3}{25}\)
914.255.87/1812.6253.243
rút gọn
914.255.82.87phần 1812.6253.243
\(\frac{9^{14}.25^5.8^2.8^7}{18^{12}.625^3.24^3}=\frac{3^{28}.5^{10}.8^9}{2^{12}.9^{12}.5^{12}.3^3.2^9}\)\(=\frac{3^{28}.5^{10}.2^{27}}{2^{21}.5^{12}.3^{24}.3^3}=\frac{3^{28}.5^{10}.2^{27}}{2^{21}.5^{12}.3^{27}}\) \(=\frac{3.2^6}{5^2}=\frac{192}{25}=7,68\)
Rút gọn phân số sau
\(\frac{9^{14}.225^5.8^7}{18^{12}.625^3.24^3}\)
\(\frac{9^{14}.225^5.8^7}{18^{12}.625^3.24^3}=\frac{\left(3^2\right)^{14}.\left(3^2.5^2\right)^5.\left(2^3\right)^7}{\left(3^2.2\right)^{12}.\left(5^4\right)^3.\left(3.2^3\right)^3}=\frac{3^{28}.3^{10}.5^{10}.2^{21}}{3^{24}.2^{12}.5^{12}.3^3.2^9}=\frac{3^{38}.5^{10}.2^{21}}{3^{27}.2^{21}.5^{12}}=\frac{3^{11}}{5^2}\)