Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "94.6" was replaced by "(946/10)".

Step  1  :

 1.1     30 = 2•3•5

(30)³ = (2•3•5)³ = 2³ • 3³ • 5³

Equation at the end of step  1  :

  946
  ——— • (23•33•53)
  10 

Step  2  :

            473
 Simplify   ———
             5 

Equation at the end of step  2  :

  473
  ——— • (23•33•53)
   5 

Step  3  :

Dividing exponents :

 3.1    5³   divided by   5¹   = 5^{(3 - 1)} = 5²

Final result :

  (11•43•23•33•52)