Solution - Power equations

Step  1  :

 1.1     25 = 52

(25)⁸ = (5²)⁸ = 5¹⁶

Equation at the end of step  1  :

           516
  (((52) • ———)2) ÷ 7
           625

Step  2  :

            516
 Simplify   ———
            625

Dividing exponents :

 2.1    5¹⁶   divided by   5⁴   = 5^{(16 - 4)} = 5¹²

Equation at the end of step  2  :

  (((52) • 512)2) 
  ———————————————
         7       

Step  3  :

Equation at the end of step  3  :

  
 Step  4  :
            528
 Simplify   ———
             7 

Final result :

  528                                  
  ——— = 5.32184 • 1018 
   7