Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-5" was replaced by "^(-5)".

(2): "8.42" was replaced by "(842/100)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  842
  ——— • ((2)(-5)•(5)(-5))
  100

Step  2  :

            421
 Simplify   ———
            50 

Equation at the end of step  2  :

  421
  ——— • ((2)(-5)•(5)(-5))
  50 

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2⁵   = 2^{(1 + 5)} = 2⁶

Multiplying exponents :

 3.2    5²  multiplied by  5⁵   = 5^{(2 + 5)} = 5⁷

Final result :

    421             
  ——————— = 0.00008 
  (26•57)