Solution - Power equations

Step  1  :

             27
 Simplify   ———
            125

Equation at the end of step  1  :

  (27
 (———)1) ÷ 3
  125

Step  2  :

 2.1     27 = 33

(27)¹ = (3³)¹ = 3³  2.2     125 = 5³ (125)¹ = (5³)¹ = 5³

Equation at the end of step  2  :

  33
  —— ÷ 3
  53

Step  3  :

         33      
 Divide  ——  by  3
         53      

Dividing exponents :

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

Final result :

   9            
  ——— = 0.07200 
  125