Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-6" was replaced by "^(-6)". 1 more similar replacement(s)

(2): "6.6" was replaced by "(66/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)^-6 = (2•5)^(-6) = (2)^(-6) • (5)^(-6)

Equation at the end of step  1  :

   831          66
  (———•(10-3))•(——•((2)(-6)•(5)(-6)))
   100          10

Step  2  :

            33
 Simplify   ——
            5 

Equation at the end of step  2  :

   831              33
  (——— • (10-3)) • (—— • ((2)(-6)•(5)(-6)))
   100              5 

Step  3  :

Raising to a Power :

 3.1    5¹  multiplied by  5⁶   = 5^{(1 + 6)} = 5⁷

Equation at the end of step  3  :

   831                33  
  (——— • (10-3)) • ———————
   100             (57•26)

Step  4  :

 4.1     10 = 2•5

(10)^-3 = (2•5)^(-3) = (2)^(-3) • (5)^(-3)

Equation at the end of step  4  :

   831                           33  
  (——— • ((2)(-3)•(5)(-3))) • ———————
   100                        (57•26)

Step  5  :

            831
 Simplify   ———
            100

Equation at the end of step  5  :

   831                           33  
  (——— • ((2)(-3)•(5)(-3))) • ———————
   100                        (57•26)

Step  6  :

Multiplying exponents :

 6.1    2²  multiplied by  2³   = 2^{(2 + 3)} = 2⁵

Multiplying exponents :

 6.2    5²  multiplied by  5³   = 5^{(2 + 3)} = 5⁵

Equation at the end of step  6  :

    831        33  
  ——————— • ———————
  (25•55)   (57•26)

Step  7  :

Multiplying exponents :

 7.1    2⁵  multiplied by  2⁶   = 2^{(5 + 6)} = 2¹¹

Multiplying exponents :

 7.2    5⁵  multiplied by  5⁷   = 5^{(5 + 7)} = 5¹²

Final result :

  (32•11•277)                                  
  ——————————— = 5.48460 • 10-8 
   (211•512)