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\(=\frac{3^6.3^8.5^4-3^{13}.5^{13}.\frac{1}{5^9}}{3^{12}.5^6+3^{12}.5^6}\)
\(=\frac{3^{13}.5^4\left(3-1\right)}{3^{12}.5^6.2}\)
\(=\frac{3}{5^2}=\frac{3}{25}\)
a) Tử số = 3^6.45^4−15^13.5^−9=3^6.(5.3^2)^4−(3.5)^13.5^−9=3^6.5^4.3^8−3^13.5^13.5^−9=3^14.5^4−3^13.5^4=3^13.5^4(3−1)=2.3^13.5^4
Mẫu số = 27^4.25^3+45^6=3^12.5^6+3^12.5^6=2.3^12.5^6
Phân số = 2.3^13.5^4/2.3^12.5^6=3/25
\(\frac{3^6.45^6-15^{13}.5^{-9}}{27^4.25^3+45^6}\)
\(=\frac{3^6.\left(9.5\right)^4-\left(3.5\right)^{13}.5^{-9}}{\left(3^2\right)^4.\left(5^2\right)^3+\left(9.5\right)^6}\)
\(=\frac{3^6.9^4.5^4-3^{13}.5^{13}.5^{-9}}{3^8.5^6+9^6.5^6}\)
\(=\frac{3^6.\left(3^2\right)^4.5^4-3^{13}.\left(5^{13}.5^{-9}\right)}{3^8.5^6+\left(3^2\right)^6.5^6}\)
\(=\frac{3^6.3^8.5^4-3^{13}.5^4}{3^8.5^6+3^{12}.5^6}\)
\(=\frac{3^{13}.5^4.\left(3-1\right)}{3^8.5^6.\left(1+3^4\right)}\)
\(=\frac{3^5.2}{5^2.82}\)
\(=\frac{3^4}{5^2.41}\)
\(=\frac{81}{1025}\)
\(\frac{3^6.45^4-15^{13}:5^9}{27^4.25^3+45^6}\)=\(\frac{3^{14}.5^4-3^{13}.5^4}{3^{12}.5^6+3^{12}.5^6}=\frac{3^{13}.5^4\left(3-1\right)}{3^{12}.5^6\left(1+1\right)}\)=\(\frac{3}{25}\)
\(=\dfrac{3^6\cdot3^8\cdot5^4-3^3\cdot5^3\cdot5^9}{3^{12}\cdot5^6+3^{12}\cdot5^6}=\dfrac{5^4\cdot3^3\cdot\left(3^{11}-5^8\right)}{3^{12}\cdot5^6\cdot2}=\dfrac{-106739}{3^9\cdot5^2}\)
dễ thì làm đi nói bóng gió gì nữa!