Solution - Simplification or other simple results

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 = 2⁶  2.2     27 = 3³ (27)² = (3³)² = 3⁶

Equation at the end of step  2  :

  26
  —— ÷ 3
  36

Step  3  :

         26      
 Divide  ——  by  3
         36      

Multiplying exponents :

 3.1    3⁶  multiplied by  3¹   = 3^{(6 + 1)} = 3⁷

Final result :

   64            
  ———— = 0.02926 
  2187