Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

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

Step  1  :

            27
 Simplify   ——
            64

Equation at the end of step  1  :

  27
 (——)-2) ÷ 3
  64

Step  2  :

 2.1     27 = 33

(27)^-2 = (3³)^(-2) = (3)^(-6)  2.2     64 = 2⁶ (64)^-2 = (2⁶)^(-2) = (2)^(-12)

Equation at the end of step  2  :

   (3)(-6)
  ———————— ÷ 3
  (2)(-12)

Step  3  :

          (3)(-6)      
 Divide  ————————  by  3
         (2)(-12)      

Multiplying exponents :

 3.1    3¹  multiplied by  3⁶   = 3^{(1 + 6)} = 3⁷

Final result :

  4096           
  ———— = 1.87289 
  2187