Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

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

Step  1  :

 1.1     10 = 2•5

(10)¹² = (2•5)¹² = 2¹² • 5¹²

Equation at the end of step  1  :

  100
  ——— • (6 • (212•512))
   1 

Step  2  :

Multiplying exponents :

 2.1    2¹  multiplied by  2¹²   = 2^{(1 + 12)} = 2¹³

Equation at the end of step  2  :

  100
  ——— • (213•3•512)
   1 

Step  3  :

            100
 Simplify   ———
             1 

Equation at the end of step  3  :

  100 • (213•3•512)

Step  4  :

Multiplying exponents :

 4.1    2²  multiplied by  2¹³   = 2^{(2 + 13)} = 2¹⁵

Multiplying exponents :

 4.2    5²  multiplied by  5¹²   = 5^{(2 + 12)} = 5¹⁴

Final result :

  (215•514•3)