Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-4" was replaced by "^(-4)". 1 more similar replacement(s)

(2): "1.1" was replaced by "(11/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)^-4 = (2•5)^(-4) = (2)^(-4) • (5)^(-4)

Equation at the end of step  1  :

   42          11
  (——•(10-2))•(——•((2)(-4)•(5)(-4)))
   10          10

Step  2  :

            11
 Simplify   ——
            10

Equation at the end of step  2  :

   42              11
  (—— • (10-2)) • (—— • ((2)(-4)•(5)(-4)))
   10              10

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2⁴   = 2^{(1 + 4)} = 2⁵

Raising to a Power :

 3.2    5¹  multiplied by  5⁴   = 5^{(1 + 4)} = 5⁵

Equation at the end of step  3  :

   42                11  
  (—— • (10-2)) • ———————
   10             (25•55)

Step  4  :

 4.1     10 = 2•5

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

Equation at the end of step  4  :

   42                           11  
  (—— • ((2)(-2)•(5)(-2))) • ———————
   10                        (25•55)

Step  5  :

            21
 Simplify   ——
            5 

Equation at the end of step  5  :

   21                           11  
  (—— • ((2)(-2)•(5)(-2))) • ———————
   5                         (25•55)

Step  6  :

Multiplying exponents :

 6.1    5¹  multiplied by  5²   = 5^{(1 + 2)} = 5³

Equation at the end of step  6  :

   21      11  
  ——— • ———————
  500   (25•55)

Step  7  :

Multiplying exponents :

 7.1    2²  multiplied by  2⁵   = 2^{(2 + 5)} = 2⁷

Multiplying exponents :

 7.2    5³  multiplied by  5⁵   = 5^{(3 + 5)} = 5⁸

Final result :

    231                                    
  ——————— = 4.62000 • 10-6 
  (27•58)