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\(\frac{3^6.45^4-15^{13}:5^9}{27^4.25^3+45^6}\)=\(\frac{3^{14}.5^4-3^{13}.5^4}{3^{12}.5^6+3^{12}.5^6}=\frac{3^{13}.5^4\left(3-1\right)}{3^{12}.5^6\left(1+1\right)}\)=\(\frac{3}{25}\)
\(=\dfrac{3^6\cdot3^8\cdot5^4-3^3\cdot5^3\cdot5^9}{3^{12}\cdot5^6+3^{12}\cdot5^6}=\dfrac{5^4\cdot3^3\cdot\left(3^{11}-5^8\right)}{3^{12}\cdot5^6\cdot2}=\dfrac{-106739}{3^9\cdot5^2}\)
Ta có : \(A=\frac{3^6.45^4-15^{13}.5^{-9}}{27^4.25^3.45^6}\)
=\(\frac{3^6.5^4.3^8-3^{13}.5^{13}.5^{-9}}{3^{12}.5^6+5^6.3^{12}}\)
=\(\frac{3^{14}.5^4-3^{13}.5^4}{3^{12}.5^6+5^6.3^{12}}=\frac{3^{13}.5^4.\left(3-1\right)}{5^6.3^{12}.\left(1+1\right)}=\frac{3}{5^2}=\frac{3}{25}\)
\(=\frac{3^6.3^8.5^4-3^{13}.5^{13}.\frac{1}{5^9}}{3^{12}.5^6+3^{12}.5^6}\)
\(=\frac{3^{13}.5^4\left(3-1\right)}{3^{12}.5^6.2}\)
\(=\frac{3}{5^2}=\frac{3}{25}\)
ta có:tử=3^6.45^4-15^3.5^-9
=3^6.15^4.3^4-15^3.5^-9
=3^10.15^4-15^3.5^-9
=3^10.3^4.5^4-5^3.3^3.5^-9
=3^14.5^4-3^3.5^-6
=3^3.5^-6.(3^11.5^10-1)
lam tuong tu vs mau roi rut gon
3/25
ngân đầu tiên