Evaluate: (sqrt(500x^9))/(sqrt(4x^4))

Expression: $\frac{ \sqrt{ 500{x}^{9} } }{ \sqrt{ 4{x}^{4} } }$

Simplify the radical expression

$\frac{ 10{x}^{4}\sqrt{ 5x } }{ \sqrt{ 4{x}^{4} } }$

Evaluate the square root

$\frac{ 10{x}^{4}\sqrt{ 5x } }{ 2{x}^{2} }$

Cancel out the common factor $2$

$\frac{ 5{x}^{4}\sqrt{ 5x } }{ {x}^{2} }$

Simplify the expression

$5{x}^{2}\sqrt{ 5x }$