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)". 1 more similar replacement(s)

(2): "8.1" was replaced by "(81/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

   55          81
  (——•(10-5))•(——•((2)(-7)•(5)(-7)))
   10          10

Step  2  :

            81
 Simplify   ——
            10

Equation at the end of step  2  :

   55              81
  (—— • (10-5)) • (—— • ((2)(-7)•(5)(-7)))
   10              10

Step  3  :

Multiplying exponents :

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

Raising to a Power :

 3.2    5¹  multiplied by  5⁷   = 5^{(1 + 7)} = 5⁸

Equation at the end of step  3  :

   55                81  
  (—— • (10-5)) • ———————
   10             (28•58)

Step  4  :

 4.1     10 = 2•5

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

Equation at the end of step  4  :

   55                           81  
  (—— • ((2)(-5)•(5)(-5))) • ———————
   10                        (28•58)

Step  5  :

            11
 Simplify   ——
            2 

Equation at the end of step  5  :

   11                           81  
  (—— • ((2)(-5)•(5)(-5))) • ———————
   2                         (28•58)

Step  6  :

Multiplying exponents :

 6.1    2¹  multiplied by  2⁵   = 2^{(1 + 5)} = 2⁶

Equation at the end of step  6  :

     11        81  
  ——————— • ———————
  (26•55)   (28•58)

Step  7  :

Multiplying exponents :

 7.1    2⁶  multiplied by  2⁸   = 2^{(6 + 8)} = 2¹⁴

Multiplying exponents :

 7.2    5⁵  multiplied by  5⁸   = 5^{(5 + 8)} = 5¹³

Final result :

     891                                      
  ————————— = 4.45500 • 10-11 
  (214•513)