Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-5" was replaced by "^(-5)". 1 more similar replacement(s)

(2): "1.8" was replaced by "(18/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

   21          18
  (——•(10-3))•(——•((2)(-5)•(5)(-5)))
   10          10

Step  2  :

            9
 Simplify   —
            5

Equation at the end of step  2  :

   21              9
  (—— • (10-3)) • (— • ((2)(-5)•(5)(-5)))
   10              5

Step  3  :

Raising to a Power :

 3.1    5¹  multiplied by  5⁵   = 5^{(1 + 5)} = 5⁶

Equation at the end of step  3  :

   21                9   
  (—— • (10-3)) • ———————
   10             (56•25)

Step  4  :

 4.1     10 = 2•5

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

Equation at the end of step  4  :

   21                           9   
  (—— • ((2)(-3)•(5)(-3))) • ———————
   10                        (56•25)

Step  5  :

            21
 Simplify   ——
            10

Equation at the end of step  5  :

   21                           9   
  (—— • ((2)(-3)•(5)(-3))) • ———————
   10                        (56•25)

Step  6  :

Multiplying exponents :

 6.1    2¹  multiplied by  2³   = 2^{(1 + 3)} = 2⁴

Multiplying exponents :

 6.2    5¹  multiplied by  5³   = 5^{(1 + 3)} = 5⁴

Equation at the end of step  6  :

     21        9   
  ——————— • ———————
  (24•54)   (56•25)

Step  7  :

Multiplying exponents :

 7.1    2⁴  multiplied by  2⁵   = 2^{(4 + 5)} = 2⁹

Multiplying exponents :

 7.2    5⁴  multiplied by  5⁶   = 5^{(4 + 6)} = 5¹⁰

Final result :

     189                                    
  ———————— = 3.78000 • 10-8 
  (29•510)