Solution - Power equations

Step  1  :

 1.1     1600 = 26•52

(1600)¹ = (2⁶•5²)¹ = 2⁶ • 5²

Equation at the end of step  1  :

Step  2  :

            (26•52)
 Simplify   ———————
               4   

Dividing exponents :

 2.1    2⁶   divided by   2²   = 2^{(6 - 2)} = 2⁴

Final result :

  400