${{\mathop {30}\nolimits^5  \times \mathop {48}\nolimits^5  \times \mathop {25}\nolimits^3 } \over {\mathop {40}\nolimits^5  \times \mathop {36}\nolimits^2 }} = {{\mathop {(2 \times 3 \times 5)}\nolimits^5  \times \mathop {(\mathop 2\nolimits^4  \times 3)}\nolimits^5  \times \mathop {(\mathop 5\nolimits^2 )}\nolimits^3 } \over {\mathop {(\mathop 2\nolimits^3  \times 5)}\nolimits^5  \times \mathop {(\mathop 2\nolimits^2  \times \mathop 3\nolimits^2 )}\nolimits^2 }} = {{\mathop 2\nolimits^5  \times \mathop 3\nolimits^5  \times \mathop 5\nolimits^5  \times \mathop 2\nolimits^{20}  \times \mathop 3\nolimits^5  \times \mathop 5\nolimits^6 } \over {\mathop 2\nolimits^{15}  \times \mathop 5\nolimits^5  \times \mathop 2\nolimits^4  \times \mathop 3\nolimits^4 }} = {{\mathop 2\nolimits^{25}  \times \mathop 3\nolimits^{10}  \times \mathop 5\nolimits^6 } \over {\mathop 2\nolimits^{19}  \times \mathop 3\nolimits^4 }} = \mathop 2\nolimits^6  \times \mathop 3\nolimits^6  \times \mathop 5\nolimits^6  = \mathop {30}\nolimits^6 $