Solution - Power equations

Step  1  :

 1.1     100 = 22•52

(100)¹ = (2²•5²)¹ = 2² • 5²

Equation at the end of step  1  :

Step  2  :

            (22•52)
 Simplify   ———————
               2   

Dividing exponents :

 2.1    2²   divided by   2¹   = 2^{(2 - 1)} = 2¹ = 2

Final result :

  50