Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.14" was replaced by "(414/100)".

Step  1  :

 1.1     910 = 2•5•7•13

(910)⁵⁰ = (2•5•7•13)⁵⁰ = 2⁵⁰ • 5⁵⁰ • 7⁵⁰ • 13⁵⁰

Equation at the end of step  1  :

  414
  ——— • (250•550•750•1350)
  100

Step  2  :

            207
 Simplify   ———
            50 

Equation at the end of step  2  :

  207
  ——— • (250•550•750•1350)
  50 

Step  3  :

Dividing exponents :

 3.1    2⁵⁰   divided by   2¹   = 2^{(50 - 1)} = 2⁴⁹

Dividing exponents :

 3.2    5⁵⁰   divided by   5²   = 5^{(50 - 2)} = 5⁴⁸

Final result :

  (32•23•249•548•750•1350)