Question

Thực hiện phép tính:

\(\dfrac{2.6^9-2^5.18^4}{2^2.6^8}\)

Answer 1

\(\dfrac{2\cdot6^9-2^5\cdot18^4}{2^2\cdot6^8}\\ =\dfrac{2\cdot\left(2\cdot3\right)^9-2^5\cdot\left(2\cdot3^2\right)^4}{2^2\cdot\left(2\cdot3\right)^8}\\ =\dfrac{2\cdot2^9\cdot3^9-2^5\cdot2^4\cdot3^8}{2^2\cdot2^8\cdot3^8}\\ =\dfrac{2^9\cdot3^8\left(2\cdot3-1\right)}{2^{10}\cdot3^8}\\ =\dfrac{5}{2}\)

Answer 2

\(\dfrac{2.6^9-2^5.18^4}{2^2.6^8}=\dfrac{2.\left(2.3\right)^9-2^5.\left(2.3^2\right)^4}{2^2.\left(2.3\right)^8}=\dfrac{2.2^9.3^9-2^5.2^4.3^8}{2^2.2^8.3^8}=\dfrac{2^9.3^8\left(2.3-1\right)}{2^{10}.3^8}=\dfrac{5}{2}\)