Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

Step  1  :

            64
 Simplify   ——
            27

Equation at the end of step  1  :

  64
 (——)-1) ÷ 3
  27

Step  2  :

 2.1     64 = 26

(64)^-1 = (2⁶)^(-1) = (2)^(-6)  2.2     27 = 3³ (27)^-1 = (3³)^(-1) = (3)^(-3)

Equation at the end of step  2  :

  (2)(-6)
  ——————— ÷ 3
  (3)(-3)

Step  3  :

         (2)(-6)      
 Divide  ———————  by  3
         (3)(-3)      

Dividing exponents :

 3.1    3³   divided by   3¹   = 3^{(3 - 1)} = 3²

Final result :

   9           
  —— = 0.14062 
  64