Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-10" was replaced by "^(-10)".

(2): "8.192" was replaced by "(8192/1000)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  8192
  ———— • ((2)(-10)•(5)(-10))
  1000

Step  2  :

            1024
 Simplify   ————
            125 

Equation at the end of step  2  :

  1024
  ———— • ((2)(-10)•(5)(-10))
  125 

Step  3  :

Multiplying exponents :

 3.1    5³  multiplied by  5¹⁰   = 5^{(3 + 10)} = 5¹³

Canceling Out :

 3.2      Canceling out  2¹⁰ as it appears on both sides of the fraction line

Final result :

   1                                    
  ——— = 8.19200 • 10-10 
  513