Question

[Minh Thu Hoàng Nguyễn]

tính hợp lý \(\dfrac{3^{^{^{ }}6}.45^5-15^{13}:5^9}{27^4.25^3+45^6}\)

Answer 1

[Nguyễn Lê Phước Thịnh]

\(=\dfrac{3^6\cdot3^{10}\cdot5^5-3^{13}\cdot5^{13}:5^9}{3^{12}\cdot5^6+5^6\cdot3^{12}}=\dfrac{3^{16}\cdot5^5-3^{13}\cdot5^4}{3^{12}\cdot5^6\cdot2}\)

\(=\dfrac{5^4\cdot3^{13}\left(3^3\cdot5-1\right)}{3^{12}\cdot5^6\cdot2}=\dfrac{3}{25}\cdot\dfrac{134}{2}=\dfrac{3}{25}\cdot67=\dfrac{201}{25}\)