Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.66" was replaced by "(166/100)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)²⁴ = (2•5)²⁴ = 2²⁴ • 5²⁴

Equation at the end of step  1  :

  83798    166
  ————— • (——— • (224•524))
  1000     100

Step  2  :

            83
 Simplify   ——
            50

Equation at the end of step  2  :

  83798    83
  ————— • (—— • (224•524))
  1000     50

Step  3  :

Dividing exponents :

 3.1    2²⁴   divided by   2¹   = 2^{(24 - 1)} = 2²³

Dividing exponents :

 3.2    5²⁴   divided by   5²   = 5^{(24 - 2)} = 5²²

Equation at the end of step  3  :

  83798
  ————— • (83•223•522)
  1000 

Step  4  :

            41899
 Simplify   —————
             500 

Equation at the end of step  4  :

  41899
  ————— • (83•223•522)
   500 

Step  5  :

Dividing exponents :

 5.1    2²³   divided by   2²   = 2^{(23 - 2)} = 2²¹

Dividing exponents :

 5.2    5²²   divided by   5³   = 5^{(22 - 3)} = 5¹⁹

Final result :

  (11•13•293•83•221•519)