\(\dfrac{5^2\cdot6\cdot\left(-16\right)^2+6^2\left(-12\right)^6\left(-15\right)^2}{2\left(-6\right)\cdot2\cdot10^4-81^2\cdot960^3}=\dfrac{3\cdot5^2\cdot2^9+2^{14}\cdot3^{10}\cdot5^2}{-2^7\cdot3\cdot5^4-2^{18}\cdot3^{11}\cdot5^3}=\dfrac{2^9\cdot3\cdot5^2\left(1+2^5\cdot3^9\right)}{-2^7\cdot3\cdot5^3\left(5+2^{11}\cdot3^{10}\right)}=-\dfrac{2^2\left(1+2^5\cdot3^9\right)}{5\left(5+2^{11}\cdot3^{10}\right)}\)
Đề tự chế???
\(\dfrac{5^2.6\left(-16\right)^2+6^2\left(-12\right)^6\left(-15^6\right)}{2\left(-6\right).2.10^4-81^2.960^3}=\dfrac{3.5^2.2^9+2^{18}.3^{11}.5^3}{-2^7.3.5^4-2^{18}.3^{11}.5^3}\)
=\(\dfrac{2^9.3.5^2\left(1+2^2.3^9\right)}{-2^7.3.5^3\left(5+2^{11}.3^{10}\right)}=\dfrac{2^2\left(1+2^5.3^9\right)}{-5\left(5+2^{11}.3^{10}\right)}\)
\(=\dfrac{4\left(1+1\right)}{-5\left(5+2^6.3\right)}=\dfrac{8}{-985}\)