Solution - Power equations

Step  1  :

             27
 Simplify   ———
            125

Equation at the end of step  1  :

  (27
 (———)2) ÷ 3
  125

Step  2  :

 2.1     27 = 33

(27)² = (3³)² = 3⁶  2.2     125 = 5³ (125)² = (5³)² = 5⁶

Equation at the end of step  2  :

  36
  —— ÷ 3
  56

Step  3  :

         36      
 Divide  ——  by  3
         56      

Dividing exponents :

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

Final result :

  243           
  ——— = 0.01555 
  56