Solution - Power equations

Step  1  :

Equation at the end of step  1  :

               (9•(x4))
  ((7•(x2))•y)•————————
                 22y8  
 Step  2  :

Equation at the end of step  2  :

                     32x4
  ((7 • (x2)) • y) • ————
                     22y8

Step  3  :

            32x4
 Simplify   ————
            22y8

Equation at the end of step  3  :

                     9x4
  ((7 • (x2)) • y) • ———
                     4y8
 Step  4  :

Equation at the end of step  4  :

              9x4
  (7x2 • y) • ———
              4y8

Step  5  :

Multiplying exponential expressions :

 5.1    x² multiplied by x⁴ = x^{(2 + 4)} = x⁶

Dividing exponential expressions :

 5.2    y¹ divided by y⁸ = y^{(1 - 8)} = y^(-7) = ¹/_y⁷

Final result :

  63x6
  ————
  4y7