Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-3" was replaced by "^(-3)". 2 more similar replacement(s)

Step  1  :

            z(-3) 
 Simplify   —————
              3  

Equation at the end of step  1  :

                       1 
  (((((2•(x4))•(y-4))•———)•x2)•y(-3))•z4
                      3z3
 Step  2  :

Equation at the end of step  2  :

                      1 
  ((((2x4 • y(-4)) • ———) • x2) • y(-3)) • z4
                     3z3

Step  3  :

Equation at the end of step  3  :

     2x4 
  ((————— • x2) • y(-3)) • z4
    3y4z3

Step  4  :

Multiplying exponential expressions :

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

Equation at the end of step  4  :

    2x6 
  (————— • y(-3)) • z4
   3y4z3

Step  5  :

Dividing exponential expressions :

 5.1    y^(-3) divided by y⁴ = y^{((-3) - 4)} = y^(-7) = ¹/_y⁷

Equation at the end of step  5  :

   2x6 
  ————— • z4
  3y7z3

Step  6  :

Dividing exponential expressions :

 6.1    z⁴ divided by z³ = z^{(4 - 3)} = z¹ = z

Final result :

  2x6z
  ————
  3y7