Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-9" was replaced by "^(-9)".

Step  1  :

 1.1     12 = 22•3

(12)^-9 = (2²•3)^(-9) = (2)^(-18) • (3)^(-9)

Equation at the end of step  1  :

  (128) • ((2)(-18)•(3)(-9))

Step  2  :

 2.1     12 = 22•3

(12)⁸ = (2²•3)⁸ = 2¹⁶ • 3⁸

Equation at the end of step  2  :

  (216•38) • ((2)(-18)•(3)(-9))

Step  3  :

Dividing exponents :

 3.1    2¹⁶   divided by   2¹⁸   = 2^{(16 - 18)} = 2^(-2) = ¹/_2²

Dividing exponents :

 3.2    3⁸   divided by   3⁹   = 3^{(8 - 9)} = 3^(-1) = ¹/_3¹ = ¹/₃

Final result :

   1           
  —— = 0.08333 
  12