Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

Step  1  :

             8
 Simplify   ——
            27

Equation at the end of step  1  :

  (8
 (——)-2) ÷ 3
  27

Step  2  :

 2.1     8 = 23

(8)^-2 = (2³)^(-2) = (2)^(-6)  2.2     27 = 3³ (27)^-2 = (3³)^(-2) = (3)^(-6)

Equation at the end of step  2  :

  (2)(-6)
  ——————— ÷ 3
  (3)(-6)

Step  3  :

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

Dividing exponents :

 3.1    3⁶   divided by   3¹   = 3^{(6 - 1)} = 3⁵

Final result :

  243           
  ——— = 3.79688 
  64