Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-30" was replaced by "^(-30)".

(2): "3.157" was replaced by "(3157/1000)".

Step  1  :

 1.1     10 = 2•5

(10)^-30 = (2•5)^(-30) = (2)^(-30) • (5)^(-30)

Equation at the end of step  1  :

  3157
  ———— • ((2)(-30)•(5)(-30))
  1000

Step  2  :

            3157
 Simplify   ————
            1000

Equation at the end of step  2  :

  3157
  ———— • ((2)(-30)•(5)(-30))
  1000

Step  3  :

Multiplying exponents :

 3.1    2³  multiplied by  2³⁰   = 2^{(3 + 30)} = 2³³

Multiplying exponents :

 3.2    5³  multiplied by  5³⁰   = 5^{(3 + 30)} = 5³³

Final result :

     3157                                     
  ————————— = 3.15700 • 10-30 
  (233•533)