Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-47" was replaced by "^(-47)".

(2): "1.06" was replaced by "(106/100)".

Step  1  :

 1.1     10 = 2•5

(10)^-47 = (2•5)^(-47) = (2)^(-47) • (5)^(-47)

Equation at the end of step  1  :

  106
  ——— • ((2)(-47)•(5)(-47))
  100

Step  2  :

            53
 Simplify   ——
            50

Equation at the end of step  2  :

  53
  —— • ((2)(-47)•(5)(-47))
  50

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2⁴⁷   = 2^{(1 + 47)} = 2⁴⁸

Multiplying exponents :

 3.2    5²  multiplied by  5⁴⁷   = 5^{(2 + 47)} = 5⁴⁹

Final result :

      53                                      
  ————————— = 1.06000 • 10-47 
  (248•549)