Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-13" was replaced by "^(-13)".

(2): "1.137" was replaced by "(1137/1000)".

Step  1  :

 1.1     10 = 2•5

(10)^-13 = (2•5)^(-13) = (2)^(-13) • (5)^(-13)

Equation at the end of step  1  :

  1137
  ———— • ((2)(-13)•(5)(-13))
  1000

Step  2  :

            1137
 Simplify   ————
            1000

Equation at the end of step  2  :

  1137
  ———— • ((2)(-13)•(5)(-13))
  1000

Step  3  :

Multiplying exponents :

 3.1    2³  multiplied by  2¹³   = 2^{(3 + 13)} = 2¹⁶

Multiplying exponents :

 3.2    5³  multiplied by  5¹³   = 5^{(3 + 13)} = 5¹⁶

Final result :

     1137                                     
  ————————— = 1.13700 • 10-13 
  (216•516)