Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.14" was replaced by "(314/100)".

Step  1  :

 1.1     10 = 2•5

(10)¹⁰⁰ = (2•5)¹⁰⁰ = 2¹⁰⁰ • 5¹⁰⁰

Equation at the end of step  1  :

  314
  ——— • (2100•5100)
  100

Step  2  :

            157
 Simplify   ———
            50 

Equation at the end of step  2  :

  157
  ——— • (2100•5100)
  50 

Step  3  :

Dividing exponents :

 3.1    2¹⁰⁰   divided by   2¹   = 2^{(100 - 1)} = 2⁹⁹

Dividing exponents :

 3.2    5¹⁰⁰   divided by   5²   = 5^{(100 - 2)} = 5⁹⁸

Final result :

  (157•299•598)