Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-7" was replaced by "^(-7)".

(2): "1.148" was replaced by "(1148/1000)".

Step  1  :

 1.1     10 = 2•5

(10)^-7 = (2•5)^(-7) = (2)^(-7) • (5)^(-7)

Equation at the end of step  1  :

  1148
  ———— • ((2)(-7)•(5)(-7))
  1000

Step  2  :

            287
 Simplify   ———
            250

Equation at the end of step  2  :

  287
  ——— • ((2)(-7)•(5)(-7))
  250

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2⁷   = 2^{(1 + 7)} = 2⁸

Multiplying exponents :

 3.2    5³  multiplied by  5⁷   = 5^{(3 + 7)} = 5¹⁰

Final result :

     287                                    
  ———————— = 1.14800 • 10-7 
  (28•510)