Solution - Power equations

Step  1  :

Equation at the end of step  1  :

Step  2  :

            (2•32x2y3) 
 Simplify   ——————————
               -6xy   

Dividing exponential expressions :

 2.1    x² divided by x¹ = x^{(2 - 1)} = x¹ = x

Dividing exponential expressions :

 2.2    y³ divided by y¹ = y^{(3 - 1)} = y²

Canceling Out :

 2.3      Canceling out  2  as it appears on both sides of the fraction line

Dividing exponents :

 2.4    3²   divided by   3¹   = 3^{(2 - 1)} = 3¹ = 3

Final result :

  -3xy2