Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "8.1" was replaced by "(81/10)".

Step  1  :

 1.1     10 = 2•5

(10)¹⁹ = (2•5)¹⁹ = 2¹⁹ • 5¹⁹

Equation at the end of step  1  :

  81
  —— • (219•519)
  10

Step  2  :

            81
 Simplify   ——
            10

Equation at the end of step  2  :

  81
  —— • (219•519)
  10

Step  3  :

Dividing exponents :

 3.1    2¹⁹   divided by   2¹   = 2^{(19 - 1)} = 2¹⁸

Dividing exponents :

 3.2    5¹⁹   divided by   5¹   = 5^{(19 - 1)} = 5¹⁸

Final result :

  (34•218•518)