Question

[Minh Anh Đào]

4⁰ . 9³ - 6⁹ . 120 / 8⁴ . 3¹² + 6¹¹

Answer 1

[Nguyễn Lê Phước Thịnh]

Sửa đề: 4^10

\(\dfrac{4^{10}\cdot9^3-6^9\cdot120}{8^4\cdot3^{12}+6^{11}}\)

\(=\dfrac{2^{20}\cdot3^6-2^{12}\cdot3^{10}\cdot5}{2^{12}\cdot3^{12}+2^{11}\cdot3^{11}}\)

\(=\dfrac{2^{12}\cdot3^6\left(2^8-3^4\cdot5\right)}{2^{11}\cdot3^{11}\left(2\cdot3+1\right)}=\dfrac{2}{3^5}\cdot\dfrac{-149}{7}=\dfrac{-298}{3^5\cdot7}\)