Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "28.8" was replaced by "(288/10)".

Step  1  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

  288
  ——— • (23•53)
  10 

Step  2  :

            144
 Simplify   ———
             5 

Equation at the end of step  2  :

  144
  ——— • (23•53)
   5 

Step  3  :

Multiplying exponents :

 3.1    2⁴  multiplied by  2³   = 2^{(4 + 3)} = 2⁷

Dividing exponents :

 3.2    5³   divided by   5¹   = 5^{(3 - 1)} = 5²

Final result :

  (27•32•52)