Question

divide

125x⁵ by 5√5 x³​

Answer 1

Answer:

$125 {x}^{5} \div 5 \sqrt{5} {x}^{3} \\ \\ = \frac{125 {x}^{5} }{5 \sqrt{5} {x}^{3} } \\ \\ \\ = \frac{125}{5 \sqrt{5} } \: \times \frac{ {x}^{5} }{ {x}^{3} } \\ \\ \\ = \frac{125}{5 \sqrt{5} } \times {x}^{(5 - 3)} \\ \\ \\ = \frac{125 {x}^{2} }{5 \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } \\ \\ \\ = \frac{125 \sqrt{5} \: {x}^{2} }{5 \times 5} \\ \\ \\ = \frac{ \cancel{125 } \: \: ^{5} \sqrt{5} {x}^{2} }{ \cancel{25} } \\ \\ \\ { \huge{ \green{ \boxed{ \red{= 5 \sqrt{5} {x}^{2} }}}}}$