Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-12" was replaced by "^(-12)".

(2): "1.65" was replaced by "(165/100)".

Step  1  :

 1.1     10 = 2•5

(10)^-12 = (2•5)^(-12) = (2)^(-12) • (5)^(-12)

Equation at the end of step  1  :

  165
  ——— • ((2)(-12)•(5)(-12)))
  100

Step  2  :

            33
 Simplify   ——
            20

Equation at the end of step  2  :

  33
  —— • ((2)(-12)•(5)(-12)))
  20

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2¹²   = 2^{(2 + 12)} = 2¹⁴

Multiplying exponents :

 3.2    5¹  multiplied by  5¹²   = 5^{(1 + 12)} = 5¹³

Equation at the end of step  3  :

     133   
  —————————
  (214•513) 

Step  4  :

                    33   
 Divide  1  by  —————————
                (214•513) 

Final result :

  (214•513)                                   
  ————————— = 6.06061 • 1011 
     33