Solution - Power equations

Step  1  :

 1.1     750 = 2•3•53

(750)³ = (2•3•5³)³ = 2³ • 3³ • 5⁹

Equation at the end of step  1  :

Step  2  :

            (23•33•59) 
 Simplify   ——————————
                3     

Dividing exponents :

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

Final result :

  (23•32•59)