Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.7" was replaced by "(27/10)".

Step  1  :

            27
 Simplify   ——
            10

Equation at the end of step  1  :

   27
  (——)3) • 2
   10

Step  2  :

 2.1     27 = 33

(27)³ = (3³)³ = 3⁹  2.2     10 = 2•5 (10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  2  :

     39  
  ——————— • 2
  (23•53)

Step  3  :

Dividing exponents :

 3.1    2¹   divided by   2³   = 2^{(1 - 3)} = 2^(-2) = ¹/_2²

Final result :

   39            
  ——— = 39.36600 
  500