Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-138" was replaced by "^(-138)".

(2): "3.882" was replaced by "(3882/1000)".

Step  1  :

 1.1     10 = 2•5

(10)^-138 = (2•5)^(-138) = (2)^(-138) • (5)^(-138)

Equation at the end of step  1  :

  3882
  ———— • ((2)(-138)•(5)(-138))
  1000

Step  2  :

            1941
 Simplify   ————
            500 

Equation at the end of step  2  :

  1941
  ———— • ((2)(-138)•(5)(-138))
  500 

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2¹³⁸   = 2^{(2 + 138)} = 2¹⁴⁰

Multiplying exponents :

 3.2    5³  multiplied by  5¹³⁸   = 5^{(3 + 138)} = 5¹⁴¹

Final result :

      1941                                       
  ——————————— = 3.88200 • 10-138 
  (2140•5141)