Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-9" was replaced by "^(-9)". 1 more similar replacement(s)

(2): "4.7" was replaced by "(47/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)^-9 = (2•5)^(-9) = (2)^(-9) • (5)^(-9)

Equation at the end of step  1  :

   86          47
  (——•(10-4))•(——•((2)(-9)•(5)(-9)))
   10          10

Step  2  :

            47
 Simplify   ——
            10

Equation at the end of step  2  :

   86              47
  (—— • (10-4)) • (—— • ((2)(-9)•(5)(-9)))
   10              10

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2⁹   = 2^{(1 + 9)} = 2¹⁰

Raising to a Power :

 3.2    5¹  multiplied by  5⁹   = 5^{(1 + 9)} = 5¹⁰

Equation at the end of step  3  :

   86                 47   
  (—— • (10-4)) • —————————
   10             (210•510) 

Step  4  :

 4.1     10 = 2•5

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

Equation at the end of step  4  :

   86                            47   
  (—— • ((2)(-4)•(5)(-4))) • —————————
   10                        (210•510) 

Step  5  :

            43
 Simplify   ——
            5 

Equation at the end of step  5  :

   43                            47   
  (—— • ((2)(-4)•(5)(-4))) • —————————
   5                         (210•510) 

Step  6  :

Multiplying exponents :

 6.1    5¹  multiplied by  5⁴   = 5^{(1 + 4)} = 5⁵

Equation at the end of step  6  :

     43         47   
  ——————— • —————————
  (55•24)   (210•510) 

Step  7  :

Multiplying exponents :

 7.1    5⁵  multiplied by  5¹⁰   = 5^{(5 + 10)} = 5¹⁵

Multiplying exponents :

 7.2    2⁴  multiplied by  2¹⁰   = 2^{(4 + 10)} = 2¹⁴

Final result :

     2021                                     
  ————————— = 4.04200 • 10-12 
  (515•214)