e: \(18^6:4^8=\dfrac{2^6\cdot3^{12}}{2^{16}}=\dfrac{3^{12}}{2^{10}}\)
c) \(3.24^{10}=3.\left(3.2^3\right)^{10}=3.3^{10}.2^{30}=3^{11}.2^{30}=3^{11}.4^{15}< 4^{15}.4^{15}=4^{30}\)
⇒\(2^{30}+3^{30}+4^{30}>3.24^{10}\)
e) \(18^6:4^8=\dfrac{18^6}{4^8}=\dfrac{2^6.\left(3^2\right)^6}{\left(2^2\right)^8}=\dfrac{2^6.3^{12}}{2^{16}}=\dfrac{3^{12}}{2^{10}}\)