Question

[Pham Thanh Giang]

GIÚP MÌNH VỚI

8⁴ . 3⁵ - 4⁶ . 9³ / 4⁶ . 9³ + 4⁸ . 3⁵

Answer 1

[Tạ Đức Hoàng Anh]

- Đặt \(A=\frac{8^4.3^5-4^6.9^3}{4^6.9^3+4^8.3^5}\)

- Ta có: \(A=\frac{\left(2^3\right)^4.3^5-\left(2^2\right)^6.\left(3^2\right)^3}{\left(2^2\right)^6.\left(3^2\right)^3+\left(2^2\right)^8.3^5}\)

      \(\Leftrightarrow A=\frac{2^{12}.3^5-2^{12}.3^6}{2^{12}.3^6+2^{16}.3^5}\)

      \(\Leftrightarrow A=\frac{2^{12}.3^5.\left(1-3\right)}{2^{12}.3^5.\left(3+2^4\right)}\)

      \(\Leftrightarrow A=\frac{-2}{3+16}\)

      \(\Leftrightarrow A=-\frac{2}{19}\)

Vậy \(A=-\frac{2}{19}\)