Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-1" was replaced by "^(-1)".

Step  1  :

Equation at the end of step  1  :

                 (y2)     
  (3•(x2))•———————————————
           ((2•3y(-1))•x3) 
 Step  2  :
                 y2     
 Simplify   ————————————
            (2•3x3y(-1)) 

Dividing exponential expressions :

 2.1    y² divided by y^(-1) = y^{(2 - (-1))} = y³

Equation at the end of step  2  :

                y3
  (3 • (x2)) • ———
               6x3
 Step  3  :

Equation at the end of step  3  :

         y3
  3x2 • ———
        6x3

Step  4  :

Dividing exponential expressions :

 4.1    x² divided by x³ = x^{(2 - 3)} = x^(-1) = ¹/_x¹ = ¹/_x

Canceling Out :

 4.2      Canceling out  3  as it appears on both sides of the fraction line

Final result :

  y3
  ——
  2x