Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-11" was replaced by "^(-11)".

(2): "3.162" was replaced by "(3162/1000)".

Step  1  :

 1.1     10 = 2•5

(10)^-11 = (2•5)^(-11) = (2)^(-11) • (5)^(-11)

Equation at the end of step  1  :

  3162
  ———— • ((2)(-11)•(5)(-11))
  1000

Step  2  :

            1581
 Simplify   ————
            500 

Equation at the end of step  2  :

  1581
  ———— • ((2)(-11)•(5)(-11))
  500 

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2¹¹   = 2^{(2 + 11)} = 2¹³

Multiplying exponents :

 3.2    5³  multiplied by  5¹¹   = 5^{(3 + 11)} = 5¹⁴

Final result :

     1581                                     
  ————————— = 3.16200 • 10-11 
  (213•514)