Solution - Power equations

Step  1  :

 1.1     6750 = 2•33•53

(6750)¹ = (2•3³•5³)¹ = 2 • 3³ • 5³

Equation at the end of step  1  :

Step  2  :

            (2•33•53)
 Simplify   —————————
                3    

Dividing exponents :

 2.1    3³   divided by   3¹   = 3^{(3 - 1)} = 3²

Final result :

  2250