Solution - Power equations

Step  1  :

              x 
 Simplify   ————
            y2x2

Dividing exponential expressions :

 1.1    x¹ divided by x² = x^{(1 - 2)} = x^(-1) = ¹/_x¹ = ¹/_x

Equation at the end of step  1  :

   d    1 
  —— • ———
  dy   y2x

Step  2  :

             d
 Simplify   ——
            dy

Canceling Out :

 2.1    Canceling out d as it appears on both sides of the fraction line

Equation at the end of step  2  :

  1    1 
  — • ———
  y   y2x

Step  3  :

Multiplying exponential expressions :

 3.1    y¹ multiplied by y² = y^{(1 + 2)} = y³

Final result :

   1 
  ———
  y3x