Solution - Simplification or other simple results

Step  1  :

             8
 Simplify   ——
            27

Equation at the end of step  1  :

  (8
 (——)4) ÷ 3
  27

Step  2  :

 2.1     8 = 23

(8)⁴ = (2³)⁴ = 2¹²  2.2     27 = 3³ (27)⁴ = (3³)⁴ = 3¹²

Equation at the end of step  2  :

  212
  ——— ÷ 3
  312

Step  3  :

         212      
 Divide  ———  by  3
         312      

Multiplying exponents :

 3.1    3¹²  multiplied by  3¹   = 3^{(12 + 1)} = 3¹³

Final result :

  4096           
  ———— = 0.00257 
  313