10m³n⁹/9m4n4 times √5mn³/3m³n²
mn³ √6m
6mn² √mn
6m³n
6(mn)⁹
To simplify the expression:
(10m³n⁹/9m⁴n⁴) * (√5mn³/3m³n²)
= (10/9) * (√5/m) * (√m/n) * (n⁵/n⁴)
= (10/9) * (n/m√5) * √m * n
= (10/9) * √5 * n²
= 10n²√5 / 9
mn³ * √6m
= m⁴n³ * √6
= m⁴n³√6
6mn² * √mn
= 6m²n³√mn
= 6m²n⁴√mn
6m³n
6(mn)⁹
= 6m⁹n⁹