Which expression is equal to:

Question

√xy^3 / xy

 

A) x^ -1/2 y ^1/2

 

B) x^ 3/2 y^5/2

Answer 1

√(xy³) / xy

 

      = (xy³)^1/2 / xy

 

      = x^1/2y^3/2 / xy

 

      = x^1/2-1y^3/2-1

 

      = x^-1/2y^1/2

 

The answer is B)