Solution - Power equations

Step  1  :

 1.1     400 = 24•52

(400)¹ = (2⁴•5²)¹ = 2⁴ • 5²

Equation at the end of step  1  :

Step  2  :

            (24•52)
 Simplify   ———————
               2   

Dividing exponents :

 2.1    2⁴   divided by   2¹   = 2^{(4 - 1)} = 2³

Final result :

  200