5 x cubed divided by 10 x to the power of 7

5x cubed divided by 10x to the power of 7

$\begin{array}{rcl} \dfrac{(5x)^3}{(10x)^7} \\ &=&\dfrac{(5x)^3}{(2\cdot 5\cdot x)^7} \\ &=&\dfrac{(5x)^3}{2^7\cdot (5\cdot x)^7} \\ &=&\dfrac{1} {2^7\cdot (5x)^{7-3}} \\ &=&\dfrac{1} {2^7\cdot (5x)^{4}} \\ \dfrac{(5x)^3}{(10x)^7} &=&\dfrac{1} {2^7\cdot (5x)^{4}} \\ \end{array}$