Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.3" was replaced by "(33/10)".

Step  1  :

 1.1     100 = 22•52

(100)¹² = (2²•5²)¹² = 2²⁴ • 5²⁴

Equation at the end of step  1  :

  33
  —— • (224•524)
  10

Step  2  :

            33
 Simplify   ——
            10

Equation at the end of step  2  :

  33
  —— • (224•524)
  10

Step  3  :

Dividing exponents :

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

Dividing exponents :

 3.2    5²⁴   divided by   5¹   = 5^{(24 - 1)} = 5²³

Final result :

  (3•11•223•523)