Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-2" was replaced by "^(-2)".

Step  1  :

Equation at the end of step  1  :

   ((3x2 • y) • z)
  {———————————————}-2
       (9xyz)     

Step  2  :

            3x2yz
 Simplify   —————
            9xyz 

Dividing exponential expressions :

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

Canceling Out :

 2.2    Canceling out y as it appears on both sides of the fraction line

Canceling Out :

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

Dividing exponents :

 2.4    3¹   divided by   3²   = 3^{(1 - 2)} = 3^(-1) = ¹/_3¹ = ¹/₃

Equation at the end of step  2  :

  x
 (—)-2
  3

Step  3  :

Final result :

  x(-2) • 32 
  ——————————
      1