Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "8.85" was replaced by "(885/100)".

Step  1  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

   885
  (——— • (23•53))3
   100

Step  2  :

            177
 Simplify   ———
            20 

Equation at the end of step  2  :

   177
  (——— • (23•53))3
   20 

Step  3  :

Dividing exponents :

 3.1    2³   divided by   2²   = 2^{(3 - 2)} = 2¹ = 2

Raising to a Power :

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

Equation at the end of step  3  :

  88503

Step  4  :

 4.1     8850 = 2•3•52•59

(8850)³ = (2•3•5²•59)³ = 2³ • 3³ • 5⁶ • 59³

Final result :

  (23•33•56•593)