Question

Can someone please help???

Answer 1

`x {y}^(3) \sqrt{25 {x}^(7) {y}^(4) } \\ \\ = {xy}^(3) \sqrt{ {5}^(2) {x}^(7) {y}^(4) } \\ \\ = {xy}^(3) * \{ ({5}^(2) ) {}^{ (1)/(2) } ( {x}^(7) ) {}^{ (1)/(2) } ( {y}^(4) ) {}^{ (1)/(2) } \} \\ \\ = {xy}^(3) * (5 * {x}^{ (7)/(2) } * {y}^(2) ) \\ \\ = 5 * {x}^{(1 + (7)/(2)) } * {y}^((3 + 2)) \\ \\ = { \boxed{ \boxed{5 {y}^(5) \sqrt{ {x}^(9) } }}}`