Solution - Power equations

Step  1  :

             16
 Simplify   ———
            625

Equation at the end of step  1  :

  (16
 (———)1) ÷ 4
  625

Step  2  :

 2.1     16 = 24

(16)¹ = (2⁴)¹ = 2⁴  2.2     625 = 5⁴ (625)¹ = (5⁴)¹ = 5⁴

Equation at the end of step  2  :

  24
  —— ÷ 4
  54

Step  3  :

         24      
 Divide  ——  by  4
         54      

Dividing exponents :

 3.1    2⁴   divided by   2²   = 2^{(4 - 2)} = 2²

Final result :

   4            
  ——— = 0.00640 
  625