Solution - Power equations

Step  1  :

Equation at the end of step  1  :

  
 Step  2  :

Equation at the end of step  2  :

Step  3  :

             (24•3y7)
 Simplify   —————————
            (23•32y5)

Dividing exponential expressions :

 3.1    y⁷ divided by y⁵ = y^{(7 - 5)} = y²

Dividing exponents :

 3.2    2⁴   divided by   2³   = 2^{(4 - 3)} = 2¹ = 2

Dividing exponents :

 3.3    3¹   divided by   3²   = 3^{(1 - 2)} = 3^(-1) = ¹/_3¹ = ¹/₃

Final result :

  2y2
  ———
   3