Solution - Power equations

Step  1  :

            16
 Simplify   ——
            25

Equation at the end of step  1  :

  16
 (——)1) ÷ 2
  25

Step  2  :

 2.1     16 = 24

(16)¹ = (2⁴)¹ = 2⁴  2.2     25 = 5² (25)¹ = (5²)¹ = 5²

Equation at the end of step  2  :

  24
  —— ÷ 2
  52

Step  3  :

         24      
 Divide  ——  by  2
         52      

Dividing exponents :

 3.1    2⁴   divided by   2¹   = 2^{(4 - 1)} = 2³

Final result :

   8           
  —— = 0.32000 
  25