Solution - Power equations

Step  1  :

 1.1     25 = 52

(25)⁴ = (5²)⁴ = 5⁸

Equation at the end of step  1  :

Step  2  :

 2.1     25 = 52

(25)³ = (5²)³ = 5⁶

Equation at the end of step  2  :

Step  3  :

            56
 Simplify   ——
            58

Dividing exponents :

 3.1    5⁶   divided by   5⁸   = 5^{(6 - 8)} = 5^(-2) = ¹/_5²

Final result :

   1           
  —— = 0.04000 
  25