Solution - Power equations

Step  1  :

            256
 Simplify   ———
            81 

Equation at the end of step  1  :

  256
 (———)3) ÷ 4
  81 

Step  2  :

 2.1     256 = 28

(256)³ = (2⁸)³ = 2²⁴  2.2     81 = 3⁴ (81)³ = (3⁴)³ = 3¹²

Equation at the end of step  2  :

  224
  ——— ÷ 4
  312

Step  3  :

         224      
 Divide  ———  by  4
         312      

Dividing exponents :

 3.1    2²⁴   divided by   2²   = 2^{(24 - 2)} = 2²²

Final result :

  222           
  ——— = 7.89232 
  312