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): "5.22" was replaced by "(522/100)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  522
  ——— • ((2)(-7)•(5)(-7))
  100

Step  2  :

            261
 Simplify   ———
            50 

Equation at the end of step  2  :

  261
  ——— • ((2)(-7)•(5)(-7))
  50 

Step  3  :

Multiplying exponents :

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

Multiplying exponents :

 3.2    5²  multiplied by  5⁷   = 5^{(2 + 7)} = 5⁹

Final result :

    261                                    
  ——————— = 5.22000 • 10-7 
  (28•59)