Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.61" was replaced by "(461/100)".

Step  1  :

 1.1     10 = 2•5

(10)⁵ = (2•5)⁵ = 2⁵ • 5⁵

Equation at the end of step  1  :

  461
  ——— • (25•55)
  100

Step  2  :

            461
 Simplify   ———
            100

Equation at the end of step  2  :

  461
  ——— • (25•55)
  100

Step  3  :

Dividing exponents :

 3.1    2⁵   divided by   2²   = 2^{(5 - 2)} = 2³

Dividing exponents :

 3.2    5⁵   divided by   5²   = 5^{(5 - 2)} = 5³

Final result :

  (461•23•53)