\(\frac{3^6.3^8.5^4-3^{13}.5^{13}:5^9}{3^{12}.5^6+3^{12}.5^6}=\frac{3^{14}.5^4-3^{13}.5^4}{2.3^{12}.5^6}=\frac{2.3^{13}.5^4}{2.3^{12}.5^6}=\frac{1}{75}\)

\(=\frac{3^6.3^8.5^4-3^{13}.5^{13}.\frac{1}{5^9}}{3^{12}.5^6+3^{12}.5^6}\)

\(=\frac{3^{13}.5^4\left(3-1\right)}{3^{12}.5^6.2}\)

\(=\frac{3}{5^2}=\frac{3}{25}\)

mọi người giải chi tiết nha

\(\frac{3^6.45^6-15^{13}.5^{-9}}{27^4.25^3+45^6}\)

\(=\frac{3^6.\left(9.5\right)^4-\left(3.5\right)^{13}.5^{-9}}{\left(3^2\right)^4.\left(5^2\right)^3+\left(9.5\right)^6}\)

\(=\frac{3^6.9^4.5^4-3^{13}.5^{13}.5^{-9}}{3^8.5^6+9^6.5^6}\)

\(=\frac{3^6.\left(3^2\right)^4.5^4-3^{13}.\left(5^{13}.5^{-9}\right)}{3^8.5^6+\left(3^2\right)^6.5^6}\)

\(=\frac{3^6.3^8.5^4-3^{13}.5^4}{3^8.5^6+3^{12}.5^6}\)

\(=\frac{3^{13}.5^4.\left(3-1\right)}{3^8.5^6.\left(1+3^4\right)}\)

\(=\frac{3^5.2}{5^2.82}\)

\(=\frac{3^4}{5^2.41}\)

\(=\frac{81}{1025}\)

Mai nộp rồi giúp với

\(\dfrac{3^6.45^4-15^{13}.5^{-9}}{27^4.25^3+45^6}=\dfrac{3^6.3^85^4-3^{13}.5^{13}.5^{-9}}{3^{12}.5^6+3^{12}.5^6}\)

\(=\dfrac{3^{14}.5^4-3^{13}.5^4}{2.3^{12}.5^6}=\dfrac{3^{13}.5^4\left(3-1\right)}{2.3^{12}.5^6}\)

\(=\dfrac{3.2}{2.5^2}=\dfrac{3}{25}\)

\(\frac{3^6.45^4-15^{13}:5^9}{27^4.25^3+45^6}\)=\(\frac{3^{14}.5^4-3^{13}.5^4}{3^{12}.5^6+3^{12}.5^6}=\frac{3^{13}.5^4\left(3-1\right)}{3^{12}.5^6\left(1+1\right)}\)=\(\frac{3}{25}\)

\(E=\frac{3^6.45^4-15^{13}.5^{-9}}{27^4.25^3+45^6}\)

\(E=\frac{3^6.3^8.5^4-3^{13}.5^{13}.5^{-9}}{3^{12}.5^6+3^{12}.5^6}\)

\(E=\frac{3^{14}.5^4-3^{13}.5^4}{3^{12}.5^6\left(1+1\right)}\)

\(E=\frac{3^{13}.5^4\left(3-1\right)}{3^{12}.5^6.2}\)

\(E=\frac{3}{25}\)