Solution - Power equations

Step  1  :

            256
 Simplify   ———
            81 

Equation at the end of step  1  :

  256
 (———)5) ÷ 4
  81 

Step  2  :

 2.1     256 = 28

(256)⁵ = (2⁸)⁵ = 2⁴⁰  2.2     81 = 3⁴ (81)⁵ = (3⁴)⁵ = 3²⁰

Equation at the end of step  2  :

  240
  ——— ÷ 4
  320

Step  3  :

         240      
 Divide  ———  by  4
         320      

Dividing exponents :

 3.1    2⁴⁰   divided by   2²   = 2^{(40 - 2)} = 2³⁸

Final result :

  238            
  ——— = 78.83421 
  320