Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "8.234" was replaced by "(8234/1000)".

Step  1  :

 1.1     10 = 2•5

(10)¹⁴ = (2•5)¹⁴ = 2¹⁴ • 5¹⁴

Equation at the end of step  1  :

  8234
  ———— • (214•514)
  1000

Step  2  :

            4117
 Simplify   ————
            500 

Equation at the end of step  2  :

  4117
  ———— • (214•514)
  500 

Step  3  :

Dividing exponents :

 3.1    2¹⁴   divided by   2²   = 2^{(14 - 2)} = 2¹²

Dividing exponents :

 3.2    5¹⁴   divided by   5³   = 5^{(14 - 3)} = 5¹¹

Final result :

  (23•179•212•511)