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)".

(2): "9.02" was replaced by "(902/100)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

   902
  (——— • ((2)(-4)•(5)(-4)))3
   100

Step  2  :

            451
 Simplify   ———
            50 

Equation at the end of step  2  :

   451
  (——— • ((2)(-4)•(5)(-4)))3
   50 

Step  3  :

Multiplying exponents :

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

Raising to a Power :

 3.2    5²  multiplied by  5⁴   = 5^{(2 + 4)} = 5⁶

Equation at the end of step  3  :

    451  
 (———————)3
  (25•56)

Step  4  :

 4.1     451 = 11•41

(451)³ = (11•41)³ = 11³ • 41³

Final result :

  (113•413)                                   
  ————————— = 7.33871 • 10-10 
  (215•518)