Demonstrate the equivalence of the expression by writing it

Demonstrate the equivalence of the expression by writing it in simplified radical form. Please show your steps!

x² (20)^1/2 (2x)^-1/2 (5y)^1/2

Solution

x^2(20)^1/2(2x)^-1/2(5y)^1/2

simplying the equation:

= (x^2*x^-1/2)4^(1/2)*(5)^(1/2+1/2)(y)^1/2

=x^3/2*(2)*(5)*(y^1/2)

=x^(3/2)10y^1/2

= 10x^3/2*y^1/2