Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.027" was replaced by "(027/1000)".

Step  1  :

             27 
 Simplify   ————
            1000

Equation at the end of step  1  :

   (27
 (————)1) ÷ 3
  1000

Step  2  :

 2.1     27 = 33

(27)¹ = (3³)¹ = 3³  2.2     1000 = 2³•5³ (1000)¹ = (2³•5³)¹ = 2³ • 5³

Equation at the end of step  2  :

     33  
  ——————— ÷ 3
  (23•53)

Step  3  :

            33        
 Divide  ———————  by  3
         (23•53)      

Dividing exponents :

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

Final result :

    9            
  ———— = 0.00900 
  1000