Solution - Power equations

Step  1  :

            256
 Simplify   ———
            81 

Equation at the end of step  1  :

  256
 (———)1) ÷ 4
  81 

Step  2  :

 2.1     256 = 28

(256)¹ = (2⁸)¹ = 2⁸  2.2     81 = 3⁴ (81)¹ = (3⁴)¹ = 3⁴

Equation at the end of step  2  :

  28
  —— ÷ 4
  34

Step  3  :

         28      
 Divide  ——  by  4
         34      

Dividing exponents :

 3.1    2⁸   divided by   2²   = 2^{(8 - 2)} = 2⁶

Final result :

  64           
  —— = 0.79012 
  81