\(\dfrac{2^{10}\cdot5^6\cdot30^5}{4^2\cdot5^9\cdot60^2}=\dfrac{4^5\cdot5^6\cdot30^5}{4^2\cdot5^9\cdot2^2\cdot30^2}=\dfrac{4^5\cdot5^6\cdot30^5}{4^3\cdot5^9\cdot30^2}=4^2\cdot5^{-3}\cdot30^3=3456\)

\(\dfrac{2^{10}.5^6.30^5}{4^2.5^9.60^2}=\dfrac{2^{10}.5^6.30^5}{2^2.2^2.5^9.30^2.2^2}=\dfrac{2^4.30^3}{5^3}=\dfrac{2^4.5^3.6^3}{5^3}=2^4.6^3=16.216=3456\)