Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

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

Step  1  :

            27
 Simplify   ——
            64

Equation at the end of step  1  :

  27
 (——)-1) ÷ 3
  64

Step  2  :

 2.1     27 = 33

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

Equation at the end of step  2  :

  (3)(-3)
  ——————— ÷ 3
  (2)(-6)

Step  3  :

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

Multiplying exponents :

 3.1    3¹  multiplied by  3³   = 3^{(1 + 3)} = 3⁴

Final result :

  64           
  —— = 0.79012 
  81